An extended tanh-function method is proposed for constructing multiple travelling wave
solutions of nonlinear partial differential equations (PDEs) in a unified way. The key idea of …

Application of a homogeneous balance method to exact solutions of nonlinear equations in
mathematical physics Page 1 ELSEVIER 17June 1996 Physics Letters A 2 16 ( 1996) 67-75 …

Considered herein are a number of variants of the classical Boussinesq system and their
higher-order generalizations. Such equations were first derived by Boussinesq to describe …

The trajectory of fractional calculus has undergone several periods of intensive
development, both in pure and applied sciences. During the last few decades fractional …

Based on an extended tanh-function method, a general method is suggested to obtain
multiple travelling wave solutions for nonlinear partial differential equations (PDEs). The …

This paper presents a Hamiltonian formulation of the water-wave problem in which the non-
local Dirichlet-Neumann operator appears explicitly in the Hamiltonian. The principal long …

In this work, we mainly focus on the fractal variant Boussinesq–Burgers equation which can
well describe the motion of shallow water traveling along an unsmooth boundary. First, we …

In the present paper, an extended algebraic method is used for constructing exact traveling
wave solutions for some coupled nonlinear evolution equations. By implementing the direct …

By some 'pre-possessing'techniques we extend the generalized tanh method to special
types of nonlinear equations for constructing their multiple travelling wave solutions. The …

Abstract New generalized (2+ 1)-dimensional Boussinesq system with variable coefficients
has been introduced. A double Wronskian solutions has been formulated to the new system …