International Journal of Nonlinear Sciences and Numerical Simulation

Article	Citations
N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions	53
Optical solitons and stability analysis for the generalized second-order nonlinear Schrödinger equation in an optical fiber	34
The Functional Variable Method to Find New Exact Solutions of the Nonlinear Evolution Equations with Dual-Power-Law Nonlinearity	27
The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation	27
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations	23
Pandemic management by a spatio–temporal mathematical model	19
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	16
Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar	15
Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions	14
Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation	14
Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method	14
Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns	14
Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions	13
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle	13
Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting	13
Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method	13
Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation	12
Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique	11
Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps	10
Research on prediction model of thermal and moisture comfort of underwear based on principal component analysis and Genetic Algorithm–Back Propagation neural network	10
Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects	9
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	9
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	9
Wavelet collocation methods for solving neutral delay differential equations	9
Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid	8

A reliable numerical approach for nonlinear fractional optimal control problems	8
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions	8
Optimal control for dengue eradication program under the media awareness effect	7
Approximate controllability of nonlinear Hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps	7
Existence, stability and controllability results of fractional dynamic system on time scales with application to population dynamics	7
Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters	7
A stable class of modified Newton-like methods for multiple roots and their dynamics	7
Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models	7
Synchronization stability on the BAM neural networks with mixed time delays	7
Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator	7
On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on productLpand weightedLpspaces	6
Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays	6
Wavelet-optimized compact finite difference method for convection–diffusion equations	6
Derivative free iterative methods with memory having higher R-order of convergence	6
A new clique polynomial approach for fractional partial differential equations	6
Robust stabilization control of a spatial inverted pendulum using integral sliding mode controller	6
The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs	6
Analysis of (α, β)-order coupled implicit Caputo fractional differential equations using topological degree method	6
An efficient class of fourth-order derivative-free method for multiple-roots	6
Nonlinear wave equation in an inhomogeneous medium from non-standard singular Lagrangians functional with two occurrences of integrals	6
Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)	6
Extended logistic map for encryption of digital images	5
Research on the vibro-acoustic propagation characteristics of a large mining two-stage planetary gear reducer	5
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria	5
On successive linearization method for differential equations with nonlinear conditions	5
Chaos and bifurcations in a discretized fractional model of quasi-periodic plasma perturbations	5
Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators	5
Nonlinear modeling and simulation of flywheel energy storage rotor system with looseness and rub-impact coupling hitch	5
The deterministic and stochastic solutions for the nonlinear Phi-4 equation	5
On the Dynamics and Control of Fractional Chaotic Maps with Sine Terms	5
A methodology for dynamic behavior analysis of the slider-crank mechanism considering clearance joint	5
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	4
Battery discharging model on fractal time sets	4
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints	4
Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method	4
Self-adaptive inertial subgradient extragradient scheme for pseudomonotone variational inequality problem	4
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	4
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	4
Higher order rogue waves for the(3 + 1)-dimensional Jimbo–Miwa equation	4
Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order	4
Periodic solutions for stochastic Cohen–Grossberg neural networks with time-varying delays	4
Parameter inference with analytical propagators for stochastic models of autoregulated gene expression	4
A fractional-order ship power system: chaos and its dynamical properties	4
Fractional (3+1)-dim Jimbo Miwa system: invariance properties, exact solutions, solitary pattern solutions and conservation laws	4
A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument	4
Stability control of a novel multidimensional fractional-order financial system with time‐delay via impulse control	4
Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method	4
Stochastic models with multiplicative noise for economic inequality and mobility	4
Lie symmetries and singularity analysis for generalized shallow-water equations	4
Controllability of coupled fractional integrodifferential equations	3

Stability analysis of nonlinear impulsive switched positive systems	3
Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators	3
Robust optimization of multistage process: response surface and multi-response optimization approaches	3
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations	3
Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump	3
Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system	3
Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation	3
Construction of complexiton-type solutions using bilinear form of Hirota-type	3
DCSK performance analysis of a chaos-based communication using a newly designed chaotic system	3
Approximate controllability of fractional stochastic evolution equations with nonlocal conditions	3
Validation of SPH-FE Numerical Modeling of the Interaction between a High-Speed Water Jet and a PMMA Target by CEL Model and Experimental Study	3
Application of moving least squares algorithm for solving systems of Volterra integral equations	3
Lie symmetry analysis and similarity solutions for the Jimbo – Miwa equation and generalisations	3
Impacts of heuristic parameters in PSO inverse kinematics solvers	3
Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method	3
Exploring the effects of awareness and time delay in controlling malaria disease propagation	3
Magnetogasdynamic shock wave propagation using the method of group invariance in rotating medium with the flux of monochromatic radiation and azimuthal magnetic field	3
Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction	3
Synchronization of Cohen-Grossberg fuzzy cellular neural networks with time-varying delays	3
Anti-sway method for reducing vibrations on a tower crane structure	3
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	3
Studies on population balance equation involving aggregation and growth terms via symmetries	3
Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation	3
Lipschitz stability of nonlinear ordinary differential equations with non-instantaneous impulses in ordered Banach spaces	2
Numerical study of the coefficient identification algorithm based on ensembles of adjoint problem solutions for a production-destruction model	2
Synchronization control between discrete uncertain networks with different topologies	2
Stable soliton solutions to the time fractional evolution equations in mathematical physics via the new generalized G ′ / G $\left({\boldsymbol{G}}^{\prime }/\boldsymbol{G}\right)$ -expansion metho	2
Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss	2
Carleman framework filtering of nonlinear noisy phase-locked loop system	2
General decay projective synchronization of memristive competitive neural networks via nonlinear controller	2
A multivariate spectral quasi-linearization method for the solution of (2+1) dimensional Burgers’ equations	2
Bifurcation, routes to chaos, and synchronized chaos of electromagnetic valve train in camless engines	2
Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems	2
Delay-dependent robust stability analysis of uncertain fractional-order neutral systems with distributed delays and nonlinear perturbations subject to input saturation	2
An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems	2
On the inverse problem for nonlinear strongly damped wave equations with discrete random noise	2
A second-order nonlocal regularized variational model for multiframe image super-resolution	2
The Cădariu–Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations	2
Stability with mixed H ∞/passivity performance analysis of fractional-order neutral delayed Markovian jumping neural networks	2
ANFIS based system identification of underactuated systems	2
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	2
Existence of periodic solutions with minimal period for fourth-order discrete systems via variational methods	2
Analysis and numerical effects of time-delayed rabies epidemic model with diffusion	2
Mathematical analysis of the impact of vaccination and poor sanitation on the dynamics of poliomyelitis	2
An estimative (warning) model for recognition of pandemic nature of virus infections	2
Hilfer fractional stochastic evolution equations on infinite interval	2
Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators	2
Existence and Hyers–Ulam stability of solutions to a nonlinear implicit coupled system of fractional order	2
Modelling and numerical synchronization of chaotic system with fractional-order operator	2
Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire	2
New criteria for dissipativity analysis of Caputo fractional-order neural networks with non-differentiable time-varying delays	2
Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions	2
Numerical study of the energy efficiency of the building envelope containing multi-alveolar structures under Tunisian weather conditions	2
On the dynamics and control of a new fractional difference chaotic map	2
Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths	2
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	2
Theoretical assessment of the impact of awareness programs on cholera transmission dynamic	2
Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition	2
A stabilized fractional-step finite element method for the time-dependent Navier–Stokes equations	2
Positivity preserving high order schemes for angiogenesis models	2
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	2
A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space	2
Closed-form solutions and conserved quantities of a new integrable (2 + 1)-dimensional Boussinesq equation of nonlinear sciences	2
Modeling and fault identification of the gear tooth surface wear failure system	2
Drive-train selection criteria for n-dof manipulators: basis for modular serial robots library	2
Global dissipativity and exponential synchronization of mixed time-varying delays neural networks with discontinuous activations	1
Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations	1
Rotorcraft fuselage/main rotor coupling dynamics modelling and analysis	1
Lump solutions to a generalized nonlinear PDE with four fourth-order terms	1
Blowup and global existence of mild solutions for fractional extended Fisher–Kolmogorov equations	1
Numerical modeling of the dam-break flood over natural rivers on movable beds	1
The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations	1
Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations	1
Effect of moving stretching sheets on natural convection in partially heated square cavity filled with nanofluid	1
Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter	1
The monotone iterative method for the integral boundary value problems of fractionalp-Laplacian equations with delay	1
Simulation and modeling of different cell shapes for closed-cell LM-13 alloy foam for compressive behavior	1
Dynamic characteristics of supersonic turbulent free jets from four types of circular nozzles	1
Dynamics of a stochastic susceptible-infective-recovered (SIRS) epidemic model with vaccination and nonlinear incidence under regime switching and Lévy jumps	1
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	1

A note on optimal systems of certain low-dimensional Lie algebras	1
Stress wave propagation in different number of fissured rock mass based on nonlinear analysis	1
The modified Rusanov scheme for solving the phonon-Bose model	1
Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space	1
Positive periodic solution for inertial neural networks with time-varying delays	1
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	1
Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations	1
Optimal control of nonlinear systems with dynamic programming	1
Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space	1
A parallel hybrid implementation of the 2D acoustic wave equation	1
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	1
Analytical predictor–corrector entry guidance for hypersonic gliding vehicles	1
A generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation	1
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	1
Two occurrences of fractional actions in nonlinear dynamics	1
Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation	1
Invariant solutions of fractional-order spatio-temporal partial differential equations	1
Global exponential stability of periodic solution of delayed discontinuous Cohen–Grossberg neural networks and its applications	1
Modeling and simulations of a Zika virus as a mosquito-borne transmitted disease with environmental fluctuations	1
Solving nonlinear third-order boundary value problems based-on boundary shape functions	1
Model-order reduction for hyperbolic relaxation systems	1
Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative	1
Effects of uniform or non-uniform heating at bottom wall on MHD mixed convection in a porous cavity saturated by nanofluid	1
Integrodifference master equation describing actively growing blood vessels in angiogenesis	1
Solutions and stability for p-Laplacian differential problems with mixed type fractional derivatives	1
Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law	1
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	1
Numerical analysis of geometrical nonlinear aeroelasticity with CFD/CSD method	1
Quintic B-spline collocation method for the numerical solution of the Bona–Smith family of Boussinesq equation type	1
A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems	1
Microcontroller-based simulation of a nonlinear resistive-capacitive-inductance shunted Josephson junction model and applications in electromechanical engineering	1
Bifurcation analysis of a new stochastic traffic flow model	1
Comparison of different time discretization schemes for solving the Allen–Cahn equation	1
Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance	1
Design of the state feedback-based feed-forward controller asymptotically stabilizing the double-pendulum-type overhead cranes with time-varying hoisting rope length	1
Stability analysis of almost periodic solutions for discontinuous bidirectional associative memory (BAM) neural networks with discrete and distributed delays	1
Limit cycles in a tritrophic food chain model with general functional responses	1
Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative	1
Convergence analysis of online learning algorithm with two-stage step size	1
Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics	1
Shehu transform on time-fractional Schrödinger equations – an analytical approach	1
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation	1
Feedback control of a nonlinear aeroelastic system with non-semi-simple eigenvalues at the critical point of Hopf bifurcation	1
Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources	1