New exact solutions for a Benjamin-Bona-Mahony equation

Authors:
Maria S. Bruzón;Maria I. Gandarias
Affiliations:
University of Cádiz, Department of Mathematics, Cádiz, Spain;University of Cádiz, Department of Mathematics, Cádiz, Spain
Venue:
ICOSSSE'08 Proceedings of the 7th WSEAS international conference on System science and simulation in engineering
Year:
2008

Citing 1
Cited 2

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Abstract

In this paper, the family of Benjamin-Bona-Mahony equation with strong nonlinear dispersive B(m, n) is considered. We apply the classical Lie method of infinitesimals. We obtain for special values of the parameters of this equation, many exact solutions expressed by various single and combined nondegenerative Jacobi elliptic function solutions and their degenerative solutions (soliton, kink and compacton). By applying the G′/G-expansion method we derive new travelling wave solutions.