English

Exact Solutions To The Generalized Lienard Equations

High Energy Physics - Theory 2008-02-03 v1 Condensed Matter Exactly Solvable and Integrable Systems solv-int

Abstract

Many new solitary wave solutions of the recently studied Lienard equation are obtained by mapping it to the field equation of the ϕ6\phi^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.

Keywords

Cite

@article{arxiv.hep-th/9510054,
  title  = {Exact Solutions To The Generalized Lienard Equations},
  author = {B. Dey and Avinash Khare and C. N. Kumar},
  journal= {arXiv preprint arXiv:hep-th/9510054},
  year   = {2008}
}

Comments

12 pages, no figure, tex file