Social and Behavioral Sciences Commons^™

Exact Travelling Wave Solutions Of A Variety Of Boussinesq-Like Equations, Jonu Lee, Rathinasamy Sakthivel

Faculty of Engineering and Information Sciences - Papers: Part A

In this paper, we obtain exact traveling wave solutions of a variety of Boussinesq-like equations by using two distinct methods with symbolic computation. The Boussinesq equations play an important role in physical applications, such as in nonlinear lattice waves, acoustic waves, iron sound waves in a plasma, and vibrations in a nonlinear string. More precisely, the modified tanh-coth method is employed to obtain single soliton solutions, and the extended Jacobi elliptic function method is applied to derive doubly periodic wave solutions. Further, it is shown that soliton solutions and triangular solutions can be established as the limits of the Jacobi …