Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations

Kamel Al-Khaled; Shaher Momani; Ahmed Alawneh

doi:10.1016/j.amc.2005.01.056

Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations

Kamel Al-Khaled
, Shaher Momani
, Ahmed Alawneh

United Arab Emirates University
Jordan University of Science and Technology
University of Mutah
University of Jordan

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

80 Scopus citations

Abstract

We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony- Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.

Original language	English
Pages (from-to)	281-292
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	171
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2005.01.056
State	Published - 1 Dec 2005
Externally published	Yes

Keywords

Adomian decomposition method
Benjamin-Bona-Mahony-Burgers Equation
Soliton solutions

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10.1016/j.amc.2005.01.056

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title = "Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations",

abstract = "We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony- Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.",

keywords = "Adomian decomposition method, Benjamin-Bona-Mahony-Burgers Equation, Soliton solutions",

author = "Kamel Al-Khaled and Shaher Momani and Ahmed Alawneh",

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T1 - Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations

AU - Al-Khaled, Kamel

AU - Momani, Shaher

AU - Alawneh, Ahmed

PY - 2005/12/1

Y1 - 2005/12/1

N2 - We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony- Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.

AB - We consider solitary-wave solutions of generalized Benjamin-Bona-Mahony- Burgers Equations (shortly BBMB). The decomposition method is proposed for the numerical solution subject to appropriate initial condition. Soliton solutions are constructed to show the nature of the solution. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The decomposition method performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.

KW - Adomian decomposition method

KW - Benjamin-Bona-Mahony-Burgers Equation

KW - Soliton solutions

UR - https://www.scopus.com/pages/publications/28444497386

U2 - 10.1016/j.amc.2005.01.056

DO - 10.1016/j.amc.2005.01.056

M3 - Article

AN - SCOPUS:28444497386

SN - 0096-3003

VL - 171

SP - 281

EP - 292

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations

Abstract

Keywords

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