Solitons and other nonlinear waves of the Boussinesq equation

E. V. Krishnan; Sachin Kumar; Anjan Biswas

doi:10.1007/s11071-012-0525-9

Solitons and other nonlinear waves of the Boussinesq equation

E. V. Krishnan, Sachin Kumar, Anjan Biswas^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

74 Citations (Scopus)

Abstract

This paper studies the dynamics of shallow water waves that are governed by the Boussinesq equations. A few perturbation terms are taken into account. The ansatz method is used to carry out the perturbed Boussinesq equation. Later on, the mapping method is used to extract a few more analytical solutions. Additionally, the Weierstrass elliptic function method is also used to obtain solitary waves and singular soliton solutions. Finally, the Lie symmetry approach is used to extract a few more additional solutions.

Original language	English
Pages (from-to)	1213-1221
Number of pages	9
Journal	Nonlinear Dynamics
Volume	70
Issue number	2
DOIs	https://doi.org/10.1007/s11071-012-0525-9
Publication status	Published - Oct 2012

Keywords

Integrability
Shallow water waves
Solitons

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Applied Mathematics
Electrical and Electronic Engineering

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10.1007/s11071-012-0525-9

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AB - This paper studies the dynamics of shallow water waves that are governed by the Boussinesq equations. A few perturbation terms are taken into account. The ansatz method is used to carry out the perturbed Boussinesq equation. Later on, the mapping method is used to extract a few more analytical solutions. Additionally, the Weierstrass elliptic function method is also used to obtain solitary waves and singular soliton solutions. Finally, the Lie symmetry approach is used to extract a few more additional solutions.

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Solitons and other nonlinear waves of the Boussinesq equation

Abstract

Keywords

ASJC Scopus subject areas

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