Most of the nonlinear phenomena are described by partial differential equation in natural
and applied sciences such as fluid dynamics, plasma physics, solid state physics, optical …

In this research paper, we implement the sine-Gordon expansion method to two governing
models which are the (2+ 1)-dimensional Nizhnik–Novikov–Veselov equation and the …

Abstract The (2+ 1) (2+1)-dimensional Chaffee–Infante equation and the dimensionless form
of the Zakharov equation have widespread scopes of function in science and engineering …

We opted to construct a traveling wave solution to the nonlinear space-time fractional
coupled modified equal width (CMEW) equation and the space-time fractional-coupled …

This paper investigates the solitary wave solutions of the generalized Rosenau–Korteweg-
de Vries-regularized-long wave equation. This model is obtained by coupling the Rosenau …

A significant model of the preserved scalar nucleons associated with neutral scalar masons
is the (2+ 1)-dimensional Nizhnik-Novikov-Veselov equation. Wave solutions are computed …

In this paper, we examine the optical soliton solutions of nonlinear partial differential
equations belonging to the nonlinear Schrödinger (NLS) class which includes cubic …

The paper studies a system of nonlinear viscoelastic Kirchhoff system with a time varying
delay and general coupling terms. We prove the global existence of solutions in a bounded …

A three-level linear conservative implicit finite difference scheme for solving the Rosenau–
KdV–RLW equation is proposed. The existence, uniqueness, and conservation for energy of …

In this paper, numerical solutions for the Rosenau-Korteweg-de Vries equation are studied
by using the subdomain method based on the sextic B-spline basis functions. Numerical …