The tanh and sine-cosine methods for higher order equations of Korteweg-de Vries type

Marwan Alquran, Kamel Al-Khaled

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The aim of this paper is twofold. Firstly, the tanh method with the aid of Mathematica is used to obtain exact soliton solutions for a new fifth-order nonlinear integrable evolution equation. Secondly, the sine-cosine and the rational sine-cosine methods are proposed for constructing more general exact solutions of the soliton type for two nonlinear evolution equations arising in nonlinear science and theoretical physics, namely the symmetric regularized long wave equation and a new model of the Korteweg-de Vries type, which gives a more realistic version of shallow water waves.

Original languageEnglish
Article number025010
JournalPhysica Scripta
Volume84
Issue number2
DOIs
Publication statusPublished - Aug 2011

Fingerprint

Sine-cosine Method
nonlinear evolution equations
Higher order equation
solitary waves
The Tanh Method
Shallow Water Waves
theoretical physics
water waves
Integrable Equation
Mathematica
Nonlinear Evolution Equations
shallow water
Soliton Solution
planetary waves
wave equations
Evolution Equation
Solitons
Wave equation
Exact Solution
Physics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics

Cite this

The tanh and sine-cosine methods for higher order equations of Korteweg-de Vries type. / Alquran, Marwan; Al-Khaled, Kamel.

In: Physica Scripta, Vol. 84, No. 2, 025010, 08.2011.

Research output: Contribution to journalArticle

Alquran, Marwan ; Al-Khaled, Kamel. / The tanh and sine-cosine methods for higher order equations of Korteweg-de Vries type. In: Physica Scripta. 2011 ; Vol. 84, No. 2.
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