Decomposition method using He’s polynomials for Kdv Boussinesq and coupled Kdv Boussinesq equations

Year 2017, Volume: 5 Issue: 4, 58 - 64, 01.10.2017

Jamshad Ahmad , Mariyam Mushtaq

Abstract

This
paper obtains the solitary wave solutions of two different forms of Boussinesq
equations that model the study of shallow water waves in lakes and ocean
beaches. The decomposition method using He’s polynomials is applied to solve
the governing equations. The travelling wave hypothesis is also utilized to
solve the generalized case of coupled Boussinesq equations, and, thus, an exact
soliton solution is obtained. The results are also supported by numerical
simulations.

Keywords

Decomposition method, He’s polynomials, cubic Boussinesq equation

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