OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Nonlinear Sciences and Numerical Simulation is 3. 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 2020-04-01 to 2024-04-01.)

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 productL^pand weightedL^pspaces	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
Stability analysis of nonlinear impulsive switched positive systems	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
Controllability of coupled fractional integrodifferential equations	3
Optimization of exact controllability for fractional impulsive partial stochastic differential systems via analytic sectorial operators	3