The variational iteration method for solitary patterns solutions of gBBM equation

We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied for the numerical solution subject to appropriate initial condition. The numerical solutions of our model equation are calculated in the for...

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Bibliographic Details
Published inPhysics letters. A Vol. 367; no. 6; pp. 461 - 464
Main Authors Yusufoglu, Elcin, Bekir, Ahmet
Format Journal Article
LanguageEnglish
Published Elsevier B.V 06.08.2007
Subjects
gBBM equation
Solitary patterns solutions
Variational iteration method
gBBM equation
Variational iteration method
Solitary patterns solutions
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ISSN0375-9601
1873-2429
DOI10.1016/j.physleta.2007.03.045

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Summary:We consider solitary patterns solutions of generalized Benjamin–Bona–Mahony equations (shortly gBBM). The variational iteration method (shortly VIM) is applied for the numerical solution subject to appropriate initial condition. The numerical solutions of our model equation are calculated in the form of convergence power series with easily computable components. The VIM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2007.03.045