International Journal of Nonlinear Sciences and Numerical Simulation

Article	Citations
N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions	59
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	29
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations	25
Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions	19
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle	18
Pandemic management by a spatio–temporal mathematical model	18
Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method	17
Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar	17
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	15
Wavelet collocation methods for solving neutral delay differential equations	14
Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation	13
Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method	13
Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns	13
Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique	13
Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting	11
Optimal control for dengue eradication program under the media awareness effect	11
Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps	11
Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects	10
Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters	9
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	9
Analysis of (α,β)-order coupled implicit Caputo fractional differential equations using topological degree method	9
Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction	8
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	8
Extended logistic map for encryption of digital images	8
Robust stabilization control of a spatial inverted pendulum using integral sliding mode controller	7

Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator	7
Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid	7
A methodology for dynamic behavior analysis of the slider-crank mechanism considering clearance joint	6
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	6
Wavelet-optimized compact finite difference method for convection–diffusion equations	6
The Cădariu–Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations	6
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria	6
Battery discharging model on fractal time sets	6
Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation	5
Research on the vibro-acoustic propagation characteristics of a large mining two-stage planetary gear reducer	5
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	5
On successive linearization method for differential equations with nonlinear conditions	5
The deterministic and stochastic solutions for the nonlinear Phi-4 equation	5
Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order	5
A new clique polynomial approach for fractional partial differential equations	5
Chaos and bifurcations in a discretized fractional model of quasi-periodic plasma perturbations	5
Nonlinear modeling and simulation of flywheel energy storage rotor system with looseness and rub-impact coupling hitch	5
An efficient class of fourth-order derivative-free method for multiple-roots	5
Controllability of coupled fractional integrodifferential equations	4
Higher order rogue waves for the(3 + 1)-dimensional Jimbo–Miwa equation	4
Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method	4
Stochastic models with multiplicative noise for economic inequality and mobility	4
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	4
Mathematical analysis of the impact of vaccination and poor sanitation on the dynamics of poliomyelitis	4
Magnetogasdynamic shock wave propagation using the method of group invariance in rotating medium with the flux of monochromatic radiation and azimuthal magnetic field	4
Delay-dependent robust stability analysis of uncertain fractional-order neutral systems with distributed delays and nonlinear perturbations subject to input saturation	4
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints	4
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations	4
A fractional-order ship power system: chaos and its dynamical properties	4
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	4
Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation	4
Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions	4
Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method	4
Self-adaptive inertial subgradient extragradient scheme for pseudomonotone variational inequality problem	4
Parameter inference with analytical propagators for stochastic models of autoregulated gene expression	4
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	4
Impacts of heuristic parameters in PSO inverse kinematics solvers	4
Construction of complexiton-type solutions using bilinear form of Hirota-type	3
Stability with mixed H ∞/passivity performance analysis of fractional-order neutral delayed Markovian jumping neural networks	3
Application of moving least squares algorithm for solving systems of Volterra integral equations	3
General decay projective synchronization of memristive competitive neural networks via nonlinear controller	3
Hilfer fractional stochastic evolution equations on infinite interval	3
Studies on population balance equation involving aggregation and growth terms via symmetries	3
Stability analysis of nonlinear impulsive switched positive systems	3
Robust optimization of multistage process: response surface and multi-response optimization approaches	3
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	3
Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump	3
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	3
DCSK performance analysis of a chaos-based communication using a newly designed chaotic system	3
On the dynamics and control of a new fractional difference chaotic map	3

Anti-sway method for reducing vibrations on a tower crane structure	3
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	3
Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method	3
A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space	2
Stability analysis of almost periodic solutions for discontinuous bidirectional associative memory (BAM) neural networks with discrete and distributed delays	2
Positive periodic solution for inertial neural networks with time-varying delays	2
Shehu transform on time-fractional Schrödinger equations – an analytical approach	2
New criteria for dissipativity analysis of Caputo fractional-order neural networks with non-differentiable time-varying delays	2
Theoretical assessment of the impact of awareness programs on cholera transmission dynamic	2
On the inverse problem for nonlinear strongly damped wave equations with discrete random noise	2
The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations	2
Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space	2
Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths	2
Modeling and simulations of a Zika virus as a mosquito-borne transmitted disease with environmental fluctuations	2
Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems	2
Positivity preserving high order schemes for angiogenesis models	2
A note on optimal systems of certain low-dimensional Lie algebras	2
Closed-form solutions and conserved quantities of a new integrable (2 + 1)-dimensional Boussinesq equation of nonlinear sciences	2
Stress wave propagation in different number of fissured rock mass based on nonlinear analysis	2
Existence and Hyers–Ulam stability of solutions to a nonlinear implicit coupled system of fractional order	2
An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems	2
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation	2
Modeling and fault identification of the gear tooth surface wear failure system	2
Analytical predictor–corrector entry guidance for hypersonic gliding vehicles	2
Invariant solutions of fractional-order spatio-temporal partial differential equations	2
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	2
An estimative (warning) model for recognition of pandemic nature of virus infections	2
Numerical solutions for strain-softening surrounding rock under three-dimensional principal stress condition	2
Numerical analysis of geometrical nonlinear aeroelasticity with CFD/CSD method	2
Model-order reduction for hyperbolic relaxation systems	2
A second-order nonlocal regularized variational model for multiframe image super-resolution	2
A stabilized fractional-step finite element method for the time-dependent Navier–Stokes equations	2
Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire	2
Modelling and numerical synchronization of chaotic system with fractional-order operator	2
Drive-train selection criteria for n-dof manipulators: basis for modular serial robots library	2
Microcontroller-based simulation of a nonlinear resistive-capacitive-inductance shunted Josephson junction model and applications in electromechanical engineering	2
Numerical study of the energy efficiency of the building envelope containing multi-alveolar structures under Tunisian weather conditions	2
Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss	2
The modified Rusanov scheme for solving the phonon-Bose model	1
New insights into singularity analysis	1
Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations	1
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	1
Carleman framework filtering of nonlinear noisy phase-locked loop system	1
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	1
Two occurrences of fractional actions in nonlinear dynamics	1
Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space	1
Solving nonlinear third-order boundary value problems based-on boundary shape functions	1
Quintic B-spline collocation method for the numerical solution of the Bona–Smith family of Boussinesq equation type	1
Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative	1
A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems	1
Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources	1
Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance	1
Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations	1
Lump solutions to a generalized nonlinear PDE with four fourth-order terms	1
Bifurcation analysis of a new stochastic traffic flow model	1
Convergence analysis of online learning algorithm with two-stage step size	1
Limit cycles in a tritrophic food chain model with general functional responses	1
Feedback control of a nonlinear aeroelastic system with non-semi-simple eigenvalues at the critical point of Hopf bifurcation	1
Effects of uniform or non-uniform heating at bottom wall on MHD mixed convection in a porous cavity saturated by nanofluid	1
Effect of moving stretching sheets on natural convection in partially heated square cavity filled with nanofluid	1
Solutions and stability for p-Laplacian differential problems with mixed type fractional derivatives	1
Simulation and modeling of different cell shapes for closed-cell LM-13 alloy foam for compressive behavior	1
Optimal control of nonlinear systems with dynamic programming	1
Hybrid solitary wave solutions of the Camassa–Holm equation	1
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	1
Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law	1
Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter	1
Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations	1
Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions	1
Dynamics of synthetic drug transmission models	1
Dynamic characteristics of supersonic turbulent free jets from four types of circular nozzles	1
Study on the coupling calculation model of dump flooding in Hala-hatang fracture-cavity reservoir	1
Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations	1
Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay	1
Analysis and numerical effects of time-delayed rabies epidemic model with diffusion	1
Comparison of different time discretization schemes for solving the Allen–Cahn equation	1
Existence and uniqueness of solutions of nonlinear fractional order problems via a fixed point theorem	1
Global exponential stability of periodic solution of delayed discontinuous Cohen–Grossberg neural networks and its applications	1
Numerical modeling of the dam-break flood over natural rivers on movable beds	1
Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics	1

Rotorcraft fuselage/main rotor coupling dynamics modelling and analysis	1
Recurrence relations for a family of iterations assuming Hölder continuous second order Fréchet derivative	1
Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation	1