Exact Solutions To The Generalized Lienard Equations

1995/10/09 by Bishwajyoti Dey, Avinash Khare, Dey, B. +3
Physics and Astronomy · #Condensed Matter (cond-mat) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.hep-th/9510054

openalex publication_date 1995/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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