A5089603540- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Advanced Fiber Laser Technologies
- Differential Equations and Numerical Methods
- Algebraic structures and combinatorial models
- Advanced Mathematical Physics Problems
- Iterative Methods for Nonlinear Equations
- Advanced Differential Equations and Dynamical Systems
- Ocean Waves and Remote Sensing
- Advanced Fiber Optic Sensors
- Numerical methods for differential equations
- Nanofluid Flow and Heat Transfer
- Numerical methods in engineering
- Dust and Plasma Wave Phenomena
- Optical Network Technologies
- Photonic Crystal and Fiber Optics
- Molecular spectroscopy and chirality
- Ionosphere and magnetosphere dynamics
- High-pressure geophysics and materials
- Nonlinear Differential Equations Analysis
- Photonic and Optical Devices
- Quantum chaos and dynamical systems
- Thermoelastic and Magnetoelastic Phenomena
- Complex Systems and Time Series Analysis
Lankaran State University
2021-2025
University of Tabriz
2016-2025
Ganja State University
2024
University of Mumbai
2024
Thi Qar University
2024
Payame Noor University
2024
Sumgayit State University
2024
Erciyes University
2021
University of Science and Technology of China
2021
Chinese Academy of Geological Sciences
2021
In this article, the homotopy analysis method is applied to solve nonlinear fractional partial differential equations. On basis of method, a scheme developed obtain approximate solution KdV, K(2,2), Burgers, BBM-Burgers, cubic Boussinesq, coupled and Boussinesq-like B(m,n) equations with initial conditions, which are introduced by replacing some integer-order time derivatives derivatives. The for directly extended derive explicit numerical solutions studied models calculated in form...
Abstract In this work, the homotopy perturbation method proposed by Ji-Huan He [1] is applied to solve both linear and nonlinear boundary value problems for fourth-order partial differential equations. The numerical results obtained with minimum amount of computation are compared exact solution show efficiency method. that high accuracy efficient solving parabolic equation variable coefficients. also introduced a powerful tool
In this work, the homotopy perturbation method (HPM), variational iteration (VIM) and Adomian decomposition (ADM) are applied to solve Fitzhugh–Nagumo equation. Numerical solutions obtained by these methods when compared with exact reveal that produce high accurate results. The results show HPM, VIM ADM of accuracy efficient for solving Also demonstrate introduced powerful tools nonlinear partial differential equations. Copyright © 2010 John Wiley & Sons, Ltd.
This paper examines the effectiveness of an integration scheme which called extended trial equation method (ETEM) in exactly solving a well-known nonlinear partial differential equations (PDEs). In this respect, longitudinal wave (LWE) that arises mathematical physics with dispersion caused by transverse Poisson's effect magneto-electro-elastic (MEE) circular rod, series exact traveling solutions for aforementioned is formally extracted. Explicit new are derived different form such as dark...
In this work, the analytic solutions for different types of nonlinear partial differential equations are obtained using multiple Exp-function method. We consider stated method (3+1)-dimensional generalized shallow water-like (SWL) equation, Boiti–Leon- Manna–Pempinelli (BLMP) variable-coefficient B-type Kadomtsev–Petviashvili (VC KP) equation and (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) equation. obtain multi classes containing one-soliton, two-soliton, triple-soliton...
Purpose The purpose of this paper is to use He's Exp‐function method (EFM) construct solitary and soliton solutions the nonlinear evolution equation. Design/methodology/approach This technique straightforward simple a powerful overcome some difficulties in problems. Findings developed for searching exact traveling wave partial differential equations. EFM presents wider applicability handling Originality/value shows that EFM, with help symbolic computation, provides mathematical tool solving...
In this paper, the exact soliton solutions and other for nonlinear Schrodinger's equation having Kudryashov's quintuple power law of refractive index together with dual form generalized nonlocal nonlinearity are studied. By noticing that system is a non-integrable one, diverse solitary wave by using trial scheme reached. particular, four forms solution functions including soliton, bright singular periodic investigated. To achieve this, an illustrative example to demonstrate feasibility...
In this article, we investigate the generalized (2+1)-dimensional shallow water wave equation which enables an unidirectional propagation of shallow-water waves. By noticing that system is integrable, could get diverse forms solitary solutions by using rogue and semi-inverse variational principle (SIVP) schemes. particular, four including wave, soliton, bright dark lump solutions. To achieve this, illustrative example Helmholtz provided to demonstrate feasibility reliability used procedure...