[HTML][HTML] Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G, 1/G)-expansion and (1/G′)-expansion techniques
In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-
expansion and (G′/G, 1/G)-expansion techniques. Both techniques have been successfully …
expansion and (G′/G, 1/G)-expansion techniques. Both techniques have been successfully …
Novel complex wave solutions of the (2+ 1)-dimensional hyperbolic nonlinear Schrödinger equation
This manuscript focuses on the application of the (m+ 1/G′)-expansion method to the (2+ 1)-
dimensional hyperbolic nonlinear Schrödinger equation. With the help of projected method …
dimensional hyperbolic nonlinear Schrödinger equation. With the help of projected method …
Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system
Abstract In this paper, the (1/G')-expansion method is used to solve the coupled Boiti-Leon-
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …
Analytical and numerical approaches to nerve impulse model of fractional‐order
We consider a fractional‐order nerve impulse model which is known as FitzHugh–Nagumo
(F–N) model in this paper. Knowing the solutions of this model allows the management of …
(F–N) model in this paper. Knowing the solutions of this model allows the management of …
Role of Gilson–Pickering equation for the different types of soliton solutions: a nonlinear analysis
In this article, the soliton solutions of the Gilson–Pickering equation have been constructed
using the sinh-Gordon function method (ShGFM) and (G′/G, 1/G)-expansion method, which …
using the sinh-Gordon function method (ShGFM) and (G′/G, 1/G)-expansion method, which …
[HTML][HTML] Modulation instability analysis and optical solutions of an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger equation
Abstract We examine an extended (2+ 1)-dimensional perturbed nonlinear Schrödinger
equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial …
equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial …
Construction of different types analytic solutions for the Zhiber-Shabat equation
In this paper, a new solution process of (1/G′)-expansion and (G′/G, 1/G)-expansion
methods has been proposed for the analytic solution of the Zhiber-Shabat (ZS) equation …
methods has been proposed for the analytic solution of the Zhiber-Shabat (ZS) equation …
Simulation and refraction event of complex hyperbolic type solitary wave in plasma and optical fiber for the perturbed Chen-Lee-Liu equation
In this article, Modified 1/G^ ′ 1/G′-expansion and Modified Kudryashov methods are
applied to generate traveling wave solutions of Perturbed Chen-Lee-Liu equation. The …
applied to generate traveling wave solutions of Perturbed Chen-Lee-Liu equation. The …
[HTML][HTML] Analytic approximate solutions of diffusion equations arising in oil pollution
In this article, modified versions of variational iteration algorithms are presented for the
numerical simulation of the diffusion of oil pollutions. Three numerical examples are given to …
numerical simulation of the diffusion of oil pollutions. Three numerical examples are given to …
Symbolic computation of Caudrey–Dodd–Gibbon equation subject to periodic trigonometric and hyperbolic symmetries
The nonlinear evolution equations have been being continuously traced out to have
remarkable progress and innovative applications by mathematicians and physicists. In this …
remarkable progress and innovative applications by mathematicians and physicists. In this …