Analysis and exact solutions for reaction-diffusion predator-prey system with prey-taxis by φ6 method
June 04, 2025
Nonlinear Analysis: Modelling and Control - Volume 30, No. 4, Pages 732-746
Numerical and Analytical Study for the Stochastic Spatial Dependent Prey-Predator Dynamical System
October 01, 2024
Journal of Computational and Nonlinear Dynamics - Volume 19(10), Article Number 101003 (23 pages)
Pattern Formation and analysis of reaction–diffusion ratio-dependent prey–predator model with harvesting in predator
September 01, 2024
Chaos, Solitons & Fractals - Volume 186, Article Number 115164
Computer modeling: A gateway to novel advancements in solving real-life problems
September 01, 2024
Biomedical Signal Processing and Control - Volume 95, Part B, Article Number 106414
Analysis of multi-wave solitary solutions of (2+1)-dimensional coupled system of Boiti–Leon–Pempinelli
August 30, 2024
Scientific Reports - Volume 14, Article Number: 20234
Optimum study of fractional polio model with exponential decay kernel
July 26, 2024
Scientific Reports - Volume 14, Issue 1, Article Number: 17237
Modulation instability and optical wave profiles for the conformable Schrödinger–Poisson dynamical system
July 05, 2024
Optical and Quantum Electronics - Volume 56, Article Number 1294
Analysis of a diffusive chemical reaction model in three space dimensions
July 01, 2024
Numerical Heat Transfer, Part B: Fundamentals - Numerical Heat Transfer, Part B: Fundamentals
Effects of Brownian motion on solitary wave structures for 1D stochastic Poisson–Nernst–Planck system in electrobiochemical
June 15, 2024
International Journal of Geometric Methods in Modern Physics - Pages 1-23
Optical Soliton solutions for stochastic Davey–Stewartson equation under the effect of noise
June 02, 2024
Optical and Quantum Electronics - Volume 56, Article Number 1148
Analyzing multiplicative noise effects on stochastic dynamical ϕ4 equation using the new extended direct algebraic method
June 01, 2024
Alexandria Engineering Journal - Volume 97, Pages 185-203
Optical soliton solutions in a distinctive class of nonlinear Schrödinger’s equation with cubic, quintic, septic, and nonic nonlinearities
May 10, 2024
Optical and Quantum Electronics - Volume: 56, Article Number: 1066, Pages: 20
A computational scheme and its comparison with optical soliton solutions for the stochastic Chen–Lee–Liu equation with sensitivity analysis
May 10, 2024
Modern Physics Letters B - Article Number 2450376 (25 Pages)
Soliton solutions of nonlinear stochastic Fitz-Hugh Nagumo equation
May 09, 2024
Optical and Quantum Electronics - Volume: 56, Article Number: 1047, Pages: 23
Exact solitary wave propagations for the stochastic Burgers’ equation under the influence of white noise and its comparison with computational scheme
May 09, 2024
Scientific Reports - Volume 14, Article Number: 10629
Analyzing solitary wave solutions of the nonlinear Murray equation for blood flow in vessels with non-uniform wall properties
May 08, 2024
Scientific Reports - Article Number 14, Article Number: 10588
Analytical investigation of space–time shifted nonlocal stochastic Sasa–Satsuma equation using the enhanced modified extended tanh-expansion method for stochastic solitary waves Solutions
May 01, 2024
Results in Physics - Volume 60, Article Number 107596
Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction–Diffusion Biofilm Model including Quorum Sensing
April 24, 2024
Mathematics - Volume 12(9), Article Number 1293
Borel control and efficient numerical techniques to solve the Allen–Cahn equation governed by temporal multiplicative noise
April 10, 2024
International Journal of Computer Mathematics - Pages 1-16
New exact solutions of the (3+1)‑dimensional double sine‑Gordon equation by two analytical methods
March 29, 2024
Optical and Quantum Electronics - Volume 56, Article Number 807
Optimization and exact solutions for biofilm model of bacterial communities
March 01, 2024
Alexandria Engineering Journal - Volume 90, Pages 89-97
Investigation of soliton structures for dispersion, dissipation, and reaction time-fractional KdV–burgers–Fisher equation with the noise effect
February 28, 2024
International Journal of Modelling and Simulation - Pages 1-17
Analysis and more General Solutions of Einstein Field Equation in f(R, T) Gravity
January 22, 2024
International Journal of Theoretical Physics - Volume 63, Article Number 24, Pages: 21
Explicit solitary wave solutions for the nonlinear equations in semiconductor and magnetic field with their stability analysis
January 01, 2024
Optical and Quantum Electronics - Volume 56, Article Number 73
Exact and solitary wave structure of the tumor cell proliferation with LQ model of three dimensional PDE by newly extended direct algebraic method
December 18, 2023
AIP Advances - Volume 13, Article Number 125218
Application of Fixed Point Theory and Solitary Wave Solutions for the Time-Fractional Nonlinear Unsteady Convection-Diffusion System
December 07, 2023
International Journal of Theoretical Physics - Volume 62, Article Number 263
On the spatiotemporal structures of ratio-dependent prey–predator model of ecological system
November 28, 2023
International Journal of Geometric Methods in Modern Physics - Volume 21, No. 4, Article Number 2450079 (37 pages)
Analytical study of reaction diffusion Lengyel-Epstein system by generalized Riccati equation mapping method
November 16, 2023
Scientific Reports - Vol:13, Article number: 20033
Exploring the solitary wave solutions of Einstein's vacuum field equation in the context of ambitious experiments and space missions
November 01, 2023
Alexandria Engineering Journal - Volume 82, Pages 186-194
Stability analysis and consistent solitary wave solutions for the reaction–diffusion regularized nonlinear model
November 01, 2023
Results in Physics - Volume 54, Article Number 107053
Traveling-wave solutions for a nonlinear non-Ohmic cardioelectrophysiological tissue conduction cable equation
August 01, 2023
Mathematical Methods in the Applied Sciences - Volume 46, Issue 12, Pages 12690-12710
A dynamical study of diarrhea delayed epidemic model: application of mathematical biology in infectious diseases
July 29, 2023
European Physical Journal Plus - Volume 138, Article Number 664
A study of propagation of the ultra-short femtosecond pulses in an optical fiber by using the extended generalized Riccati equation mapping method
June 09, 2023
Optical and Quantum Electronics - Volume 55, Issue 8, Article Number 717
Acoustic wave structures for the confirmable time-fractional Westervelt equation in ultrasound imaging
June 01, 2023
Results in Physics - Volume 49, Article Number 106494
Exploring nonlinear dispersive waves in a disordered medium: an analysis using ϕ6 model expansion method
May 23, 2023
Optical and Quantum Electronics - Volume 55, Issue 7, Article Number 651
Quantum analysis of nonlinear optics in Kerr affected saturable nonlinear media and multiplicative noise: a path to new discoveries
May 11, 2023
Optical and Quantum Electronics - Volume 55, Issue 7, Article Number 578
Investigation of solitary wave structures for the stochastic Nizhnik–Novikov–Veselov (SNNV) system
May 01, 2023
Results in Physics - Volume 48, Article Number 106389
A dynamical study on stochastic reaction diffusion epidemic model with nonlinear incidence rate
April 22, 2023
European Physical Journal Plus - Volume 138, Article Number: 350
Analysis and soliton solutions of biofilm modelby new extended direct algebraic method
March 30, 2023
Nonlinear Analysis: Modelling and Control - Volume 28, No. 3, Pages 538-553
On multiple solitons of glycolysis reaction-diffusion system for the chemical concentration
March 25, 2023
International Journal of Modern Physics B - Pages 1-30
Volume of Fluid Simulations of Heat Transfer in Liquid-Liquid Segmented Flows in Microfluidic channel
March 10, 2023
Microgravity Science and Technology - Volume 35, Article Number: 16
Abundant solitary wave solutions of the higher dimensional generalized Camassa–Holm–KP model in shallow water waves
March 07, 2023
Results in Physics - Volume 46, Article Number 106331
Construction of solitary wave solutions of bi-harmonic coupled Schrödinger system through ϕ6 -methodology
March 07, 2023
Optical and Quantum Electronics - Volume 55, Issue 5, Article Number 404
Dynamical behavior of cancer cell densities in two dimensional domain by the representation theory of solitons
March 05, 2023
Modern Physics Letters A - Volume 463, Article Number 128670
Investigation of nonlinear problems governed by stochastic phi-4 type equations in nuclear and particle physics
March 01, 2023
Results in Physics - Volume 46, Article Number 106295
Numerical investigations of stochastic Newell-Whitehead-Segel equation in (2 + 1) dimensions
February 23, 2023
International Journal of Modern Physics B - Pages 1-25
Extraction of soliton solutions for the time–space fractional order nonclassical Sobolev-type equation with unique physical problems
February 04, 2023
Results in physics - Volume 45, Article Number 106256
Spatio-temporal numerical modeling of stochastic predator-prey model
February 03, 2023
Scientific Reports - Volume 13, Issue 1, Article Number 1990
Analysis of the fractional polio model with the Mittag-Leffler kernels
February 01, 2023
Alexandria Engineering Journal - Article in Press
Numerical investigation of treated brain glioma model using a two-stage successive over-relaxation method
February 01, 2023
Computers in Biology and Medicine - Volume 153, Article Number 106429
Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties
January 15, 2023
Computational and Applied Mathematics - Volume 418, Article Number 114618
Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study
January 12, 2023
Axioms - Volume 12(1), Article Number 79
Existence theories and exact solutions of nonlinear PDEs dominated by singularities and time noise
January 09, 2023
Nonlinear Analysis: Modelling and Control - Vol 28, No 2, Pages:194-208
Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics
January 05, 2023
Intelligent Automation and Soft Computing - Volume 36, Issue 2, Pages 1479-1496
Reliable numerical analysis for stochastic reaction-diffusion system
January 01, 2023
Physica Scripta - Volume 98, Issue 1, Article Number 015209
On traveling wave solutions of an autocatalytic reaction–diffusion Selkov–Schnakenberg system
January 01, 2023
Results in Physics - Volume 44, Article Number 106129
Comparative analysis of numerical with optical soliton solutions of stochastic Gross–Pitaevskii equation in dispersive media
January 01, 2023
Results in Physics - Volume 44, Article Number 106175
A Nonlinear Structure of a Chemical Reaction Model and Numerical Modeling with the New Aspect of Existence and Uniqueness
January 01, 2023
Mathematics - Volume 11, Issue 1, Article Number 37
A dynamically consistent approximation for an epidemic model with fuzzy parameters
December 30, 2022
Expert Systems with Applications - Volume 210, Article Number 118066
Selection of solitons coinciding the numerical solutions for uniquely solvable physical problems: A comparative study for the nonlinear stochastic Gross-Pitaevskii equation in dispersive media
December 21, 2022
International Journal of Modern Physics B - Pages 1-30
Comparative analysis of numerical and newly constructed soliton solutions of stochastic Fisher-type equations in a sufficiently long habitat
November 29, 2022
International Journal of Modern Physics B - Article Number 2350155
Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods
November 21, 2022
Applied Sciences - Volume 12(22), Article Number 11813
Extraction of solitons for time incapable illimitable paraxial wave equation in Kerr-media
November 12, 2022
International Journal of Modern Physics B - Article Number 2350122
Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions
November 01, 2022
Chaos, Solitons and Fractals - Volume 164, Article Number 112600
Solution of stochastic Allen-Cahn equation in the framework of soliton theoretical approach
September 26, 2022
International Journal of Modern Physics B - Pages 1-23
Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system
September 01, 2022
Chaos, Solitons and Fractals - Volume 162, Article Number 112485
Mathematical and Numerical Analysis of SIQR Epidemic Model of Measles Disease Dynamics
August 25, 2022
Fractals - Volume 30, No. 05, Article Number 2240154
Travelling wave solutions and regularity results for nonlinear Newton-Schrödinger systems especially in one dimensions
August 03, 2022
Optical and Quantum Electronics - Volume 54, Issue 9, Article Number 589
Analysis and numerical effects of time-delayed rabies epidemic model with diffusion
July 07, 2022
International Journal of Nonlinear Sciences and Numerical Simulation - Pages 1-16
Soliton behavior of algae growth dynamics leading to the variation in nutrients concentration
July 01, 2022
Journal of King Saud University Science - Volume 34, Issue 5, Article Number 102071
Analysis of the fractional diarrhea model with Mittag-Leffler kernel
July 01, 2022
AIMS Mathematics - Volume 7, Issue 7, Pages 13000-13018
On the exact solutions of nonlinear extended Fisher-Kolmogorov equation by using the He’s variational approach
May 24, 2022
AIMS Mathematics - Volume 7, Issue 8, Pages 13874-13886
Nonlinear acoustic wave structures to the Zabolotskaya-Khokholov dynamical model
May 01, 2022
Journal of Geometry and Physics - Volume 175, Article Number 104474
Numerical scheme and stability analysis of stochastic Fitzhugh–Nagumo model
January 01, 2022
Results in Physics - Volume 32, Article Number 105023
Structure preserving numerical scheme for spatio-temporal epidemic model of plant disease dynamics
November 01, 2021
Results in Physics - Volume 30, Article Number 104821
Optimal existence of fractional order computer virus epidemic model and numerical simulations
September 15, 2021
Mathematical Methods in the Applied Sciences - Volume 44, Issue 13, Pages 10673-10685
Analytical optical soliton solutions of the Schrödinger-Poisson dynamical system
August 01, 2021
Results in physics - Volume 27, Article Number 104369
A fractal fractional model for computer virus dynamics
June 01, 2021
Chaos, Solitons and Fractals - Volume 147, Article Number 110947
Optimality of solution with numerical investigation for coronavirus epidemic model
February 05, 2021
Computers, Materials and Continua - Volume 67, Issue 2, Pages 1713-1728
Investigation of Electromagnetic Wave Structures for a Coupled Model in Anti-ferromagnetic Spin Ladder Medium
October 15, 2020
Frontiers in Physics - Volume 8, Article Number 372
Numerical modeling and theoretical analysis of a nonlinear advection-reaction epidemic system
September 01, 2020
Computer Methods and Programs in Biomedicine - Volume 193, Article Number 105429
Simulation and numerical solution of fractional order Ebola virus model with novel technique
July 06, 2020
AIMS Bioengineering - Volume 7(4), Pages 194–207
Novel numerical analysis for nonlinear advection-reaction-diffusion systems
May 20, 2020
Open Physics - Volume 18, Issue 1, Pages 112-125
A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems
May 06, 2020
Advances in Difference Equations - Volume 2020, Issue 1, Article Number: 197
Structure preserving computational technique for fractional order Schnakenberg model
February 11, 2020
Computational and Applied Mathematics - Volume 39, Issue 2, Article Number: 61
Boundary Value Problems for Non-linear First Order Systems of Partial Differential Equations in Higher Dimensions, Especially in Three Dimensions
October 15, 2019
Advances in Applied Clifford Algebras - Volume 29, Issue 5, Article Number: 98
A dynamical transmission with nonstandard finite difference scheme for pine wilt disease
June 25, 2019
International Journal of Advanced and Applied Sciences - Volume 6, Issue 9, Pages 13-19
Numerical modeling of three dimensional Brusselator reaction diffusion system
January 09, 2019
AIP Advances - Volume 9, Issue 1, Article Number 015205