International Journal of Nonlinear Sciences and Numerical Simulation

(The TQCC of International Journal of Nonlinear Sciences and Numerical Simulation is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-07-01 to 2024-07-01.)
N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions58
Optical solitons and stability analysis for the generalized second-order nonlinear Schrödinger equation in an optical fiber43
The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation29
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations23
Pandemic management by a spatio–temporal mathematical model18
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system18
Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions17
Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar16
Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions15
Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation15
Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method15
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle15
Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns13
Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation13
Wavelet collocation methods for solving neutral delay differential equations13
Numerical solution for the fractional-order one-dimensional telegraph equation via wavelet technique13
Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method13
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties12
Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting12
Research on prediction model of thermal and moisture comfort of underwear based on principal component analysis and Genetic Algorithm–Back Propagation neural network11
Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps10
Optimal control for dengue eradication program under the media awareness effect10
Existence, stability and controllability results of fractional dynamic system on time scales with application to population dynamics9
Approximate controllability of nonlinear Hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps9
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls9
Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects8
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions8
A reliable numerical approach for nonlinear fractional optimal control problems8
Extended logistic map for encryption of digital images8
Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters8
Synchronization stability on the BAM neural networks with mixed time delays7
Nonlocal fractional semilinear differential inclusions with noninstantaneous impulses and of order α ∈ (1, 2)7
Nonlinear dynamics of a RLC series circuit modeled by a generalized Van der Pol oscillator7
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 27
Analysis of (α, β)-order coupled implicit Caputo fractional differential equations using topological degree method7
Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models7
Derivative free iterative methods with memory having higher R-order of convergence6
On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on productLpand weightedLpspaces6
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria6
An efficient class of fourth-order derivative-free method for multiple-roots6
The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs6
The Cădariu–Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations6
Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators6
Periodic solutions for stochastic Cohen–Grossberg neural networks with time-varying delays6
Global exponential stability analysis of anti-periodic solutions of discontinuous bidirectional associative memory (BAM) neural networks with time-varying delays6
Nonlinear wave equation in an inhomogeneous medium from non-standard singular Lagrangians functional with two occurrences of integrals6
Generalized forms of fractional Euler and Runge–Kutta methods using non-uniform grid6
Battery discharging model on fractal time sets6
Research on bifurcation and chaos characteristics of planet gear transmission system with mixed elastohydrodynamic lubrication (EHL) friction6
Robust stabilization control of a spatial inverted pendulum using integral sliding mode controller6
Wavelet-optimized compact finite difference method for convection–diffusion equations6
Fractional (3+1)-dim Jimbo Miwa system: invariance properties, exact solutions, solitary pattern solutions and conservation laws5
A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument5
The deterministic and stochastic solutions for the nonlinear Phi-4 equation5
A new clique polynomial approach for fractional partial differential equations5
A methodology for dynamic behavior analysis of the slider-crank mechanism considering clearance joint5
Research on the vibro-acoustic propagation characteristics of a large mining two-stage planetary gear reducer5
Nonlinear modeling and simulation of flywheel energy storage rotor system with looseness and rub-impact coupling hitch5
On successive linearization method for differential equations with nonlinear conditions5
Chaos and bifurcations in a discretized fractional model of quasi-periodic plasma perturbations5
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives5
Exploring the effects of awareness and time delay in controlling malaria disease propagation4
Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions4
Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order4
Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method4
Stochastic models with multiplicative noise for economic inequality and mobility4
Self-adaptive inertial subgradient extragradient scheme for pseudomonotone variational inequality problem4
Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation4
Higher order rogue waves for the(3 + 1)-dimensional Jimbo–Miwa equation4
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints4
Numerical investigation of the solutions of Schrödinger equation with exponential cubic B-spline finite element method4
Parameter inference with analytical propagators for stochastic models of autoregulated gene expression4
Lie symmetries and singularity analysis for generalized shallow-water equations4
Abundant rogue wave solutions for the (2 + 1)-dimensional generalized Korteweg–de Vries equation4
Controllability of coupled fractional integrodifferential equations4
Stability control of a novel multidimensional fractional-order financial system with time‐delay via impulse control4
Approximate controllability of fractional stochastic evolution equations with nonlocal conditions4
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations4
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator4
A fractional-order ship power system: chaos and its dynamical properties4