Exact Solutions for the Generalized BBM Equation with Variable Coefficients

The variational iteration algorithm combined with the exp-function method is suggested to solve the generalized Benjamin-Bona-Mahony equation (BBM) with variable coefficients. Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2010-01, Vol.2010 (1)
Main Authors: Gómez, Cesar A., Salas, Alvaro H.
Format: Article
Language:English
Subjects:
Algebra
Exact solutions
Iterative algorithms
Lagrange multiplier
Mathematical models
Mathematical problems
Ordinary differential equations
Partial differential equations
Solitary waves
Studies
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Description
Summary:The variational iteration algorithm combined with the exp-function method is suggested to solve the generalized Benjamin-Bona-Mahony equation (BBM) with variable coefficients. Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.
ISSN:1024-123X
1563-5147
DOI:10.1155/2010/498249