Sinc and solitary wave solutions to the generalized Benjamin-Bona-Mahony- Burgers equations

Marwan Alquran, Kamel Al-Khaled

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

In this paper, we consider the generalized Benjamin-Bona-Mahony-Burgers (BBMB) equations. A variety of exact solutions to the BBMB equations are developed by means of the tanh method. A sinc-Galerkin procedure is also developed to solve the BBMB equations. Sinc approximations to both the derivatives and the indefinite integrals reduce the system to an explicit system of algebraic equations. It is shown that sinc-Galerkin approximations produce an error of exponential order. A comparison of the two methods for solving the BBMB equation was made regarding their solutions. The study outlines the features of the sinc method.

Original languageEnglish
Article number065010
JournalPhysica Scripta
Volume83
Issue number6
DOIs
Publication statusPublished - Jun 2011

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Burger equation
Solitary Wave Solution
Burgers Equation
solitary waves
The Tanh Method
Indefinite integral
Sinc Method
Galerkin Approximation
approximation
Algebraic Equation
Galerkin
Exact Solution
Derivative
Approximation

ASJC Scopus subject areas

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

Cite this

Sinc and solitary wave solutions to the generalized Benjamin-Bona-Mahony- Burgers equations. / Alquran, Marwan; Al-Khaled, Kamel.

In: Physica Scripta, Vol. 83, No. 6, 065010, 06.2011.

Research output: Contribution to journalArticle

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