Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural
and social sciences. However, they are usually quite difficult to solve in most instances. This …

In this study, the extended sinh-Gordon equation expansion method is used in constructing
various exact solitary wave solutions to the Klein–Gordon–Zakharov equations. The Klein …

In this paper, we establish exact solutions for nonlinear equations. The sine–cosine method
is used to construct periodic and soliton solutions of nonlinear physical models. Many new …

In this research, we propose two different methods to solve the coupled Klein–Gordon–
Zakharov (KGZ) equations: the Differential Quadrature (DQ) and Globally Radial Basis …

An exponential wave integrator sine pseudospectral method is presented and analyzed for
discretizing the Klein--Gordon--Zakharov (KGZ) system with two dimensionless parameters …

Approximate solutions are considered for the extended Fisher–Kolmogorov (EFK) equation
in two space dimension with Dirichlet boundary conditions by a Crank–Nicolson type finite …

Departing from a fractional extension of the well-known one-dimensional Klein–Gordon–
Zakharov system, we propose a numerically efficient model to approximate its solutions. The …

In this paper, two conservative difference schemes for solving a coupled nonlinear
Schrödinger (CNLS) system are numerically analyzed. Firstly, a nonlinear implicit two-level …

This study presents numerical simulations of generalized two‐dimensional (2D) and three‐
dimensional (3D) Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity …

This book analyzes the various semi-analytical and analytical methods for finding
approximate and exact solutions of fractional order partial differential equations. It explores …