Exact Solutions and Conservation Laws for a New Integrable Equation

Gandarias, M. L.; Bruzón, M. S.

doi:10.1063/1.3498429

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2012

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“…Symmetry group analysis based on the transformation groups, also known as Lie groups, is the most important solution method for nonlinear PDEs in the literature [9], [11].…”

Section: Introductionmentioning

confidence: 99%

Conservation laws for a family of Benjamin-Bona-Mahony-Burgers equations

Bruzón

Gandarias

2012

2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC)

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We consider a generalized Benjamin-Bona-MahonyBurgers equation. The functional forms, for which the equation can be reduced to ordinary differential equations by classical Lie symmetries, are given. By using the G G -expansion method travelling wave solutions are obtained. The subclass of equations which are self-adjoint are determined. By using a general theorem on conservation laws proved by Ibragimov conservation laws for this equation are presented.

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“…Symmetry group analysis based on the transformation groups, also known as Lie groups, is the most important solution method for nonlinear PDEs in the literature [9], [11].…”

Section: Introductionmentioning

confidence: 99%

Conservation laws for a family of Benjamin-Bona-Mahony-Burgers equations

Bruzón

Gandarias

2012

2012 IEEE 4th International Conference on Nonlinear Science and Complexity (NSC)

View full text Add to dashboard Cite

show abstract

Exact Solutions and Conservation Laws for a New Integrable Equation

Cited by 1 publication

References 0 publications

Conservation laws for a family of Benjamin-Bona-Mahony-Burgers equations

Conservation laws for a family of Benjamin-Bona-Mahony-Burgers equations

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