Compactons and kink-like solutions of BBM-like equations by means of factorization

Details Compactons and kink-like solutions of BBM-like equations by means of factorization Compactons and kink-like solutions of BBM-like equations by means of factorization

2008-10-22

arxiv.org/abs/0810.4166v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, 8 figures

Scientific paper

In this work, we study the Benjamin-Bona-Mahony like equations with a fully nonlinear dispersive term by means of the factorization technique. In this way we find the travelling wave solutions of this equation in terms of the Weierstrass function and its degenerated trigonometric and hyperbolic forms. Then, we obtain the pattern of periodic, solitary, compacton and kink-like solutions. We give also the Lagrangian and the Hamiltonian, which are linked to the factorization, for the nonlinear second order ordinary differential equations associated to the travelling wave equations.

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