Solitons and other nonlinear waves of the Boussinesq equation

E. V. Krishnan, Sachin Kumar, Anjan Biswas

Research output: Contribution to journalArticle

51 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 languageEnglish
Pages (from-to)1213-1221
Number of pages9
JournalNonlinear Dynamics
Volume70
Issue number2
DOIs
Publication statusPublished - Oct 2012

Fingerprint

Boussinesq Equations
Nonlinear Waves
Solitons
Water waves
Weierstrass Function
Shallow Water Waves
Lie Symmetry
Elliptic function
Solitary Waves
Soliton Solution
Analytical Solution
Perturbation
Term

Keywords

  • Integrability
  • Shallow water waves
  • Solitons

ASJC Scopus subject areas

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

Cite this

Solitons and other nonlinear waves of the Boussinesq equation. / Krishnan, E. V.; Kumar, Sachin; Biswas, Anjan.

In: Nonlinear Dynamics, Vol. 70, No. 2, 10.2012, p. 1213-1221.

Research output: Contribution to journalArticle

Krishnan, E. V. ; Kumar, Sachin ; Biswas, Anjan. / Solitons and other nonlinear waves of the Boussinesq equation. In: Nonlinear Dynamics. 2012 ; Vol. 70, No. 2. pp. 1213-1221.
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