Exact Solutions To The Generalized Lienard Equations

Abstract

Many new solitary wave solutions of the recently studied Lienard equation are obtained by mapping it to the field equation of the ${\varphi }^6-$field theory. Further, it is shown that the exact solutions of the Lienard equation are also the exact solutions of the various perturbed soliton equations. Besides, we also consider a one parameter family of generalised Lienard equations and obtain exact solitary wave solutions of these equations and show that these are also the exact solutions of the various other generalised nonlinear equations.

arXiv comment12 pages, no figure, tex file

Cited by in corpus (1)

• New explicit exact solutions for the Liénard equation and its applications