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An application of genocchi wavelets for solving the fractional rosenau hyman equation
(Elsevier, 12.2021)
In this research, Genocchi wavelets method, a quite new type of wavelet-like basis, is adopted to obtain a numerical solution for the classical and time-fractional Rosenau-Hyman or K(n,n) equation arising in the formation ...
An algorithm for numerical solution of some nonlinear multi dimensional parabolic partial differential equations [formula presented]
(Elsevier, 11.2021)
In this research paper, a numerical method, named the three-step Ultraspherical wavelet collocation method, is presented for solving some nonlinear multi-dimensional parabolic partial differential equations. The method is ...
On solitary wave solutions for the perturbed chen lee liu equation via an analytical approach
(Elsevier, 11.2021)
In this paper, the perturbed Chen–Lee–Liu equation is presented. Sardar subequation method is implemented to retrieve the novel analytical solutions of the given equation. Therefore, some of the optical solitons and other ...
Traveling wave structures of some fourth-order nonlinear partial differential equations
(Shanghai Jiaotong University, 2022)
This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method. In this method, utilizing a traveling wave ...
A comparison of analytical solutions of nonlinear complex generalized Zakharov dynamical system for various definitions of the differential operator
(American Mathematical Society, 2022)
This paper considers deriving new exact solutions of a nonlinear complex generalized Zakharov dynamical system for two different definitions of derivative operators called conformable and M− truncated. The system models ...
Dark, bright and singular optical solutions of the Kaup–Newell model with two analytical integration schemes
(Elsevier, 07.2022)
We have searched for optical solutions of Kaup–Newell equation (KNE) used in nonlinear optical and plasma physics, which have a very important role in the class of derivative nonlinear Schrödinger equations (dNLSEs). To ...
Optical solitons with Kudryashov’s sextic power-law nonlinearity
(Elsevier, 07.2022)
Objective – The main objective of this paper is to investigate analytic soliton solutions of a nonlinear Schrödinger equation (NLSE), including Kudryashov’s sextic power-law nonlinearity by introducing different approaches ...
The bell-shaped perturbed dispersive optical solitons of Biswas–Arshed equation using the new Kudryashov’s approach
(Elsevier, 10.2022)
Purpose: This study aimed to examine the effects of the parameters, the group velocity dispersion (GVD), the third-order dispersion (3OD), spatio-temporal dispersion (STD), the third-order spatio-temporal dispersion (TO-STD), ...
Optical soliton perturbation with Fokas–Lenells equation via enhanced modified extended tanh-expansion approach
(Elsevier, 10.2022)
Purpose: In this article, we establish novel solutions for the perturbed nonlinear Lenells equation, which is one of the model to investigate soliton dynamics through a polarization-preserving optical fiber, by using an ...
Optical solitons to the (1+2)‑dimensional Chiral non‑linear Schrödinger equation
(Springer, 09.2022)
In this paper, we have successfully extracted many analytic solutions for the (1+2)-dimensional Chiral non-linear Schrödinger equation (NLSE) by the enhanced modifed extended tanh expansion method (eMETEM). The considered ...
