New explicit exact solutions for the Li\'enard equation and its applications

TL;DR

This paper presents new explicit solutions for the Lie9nard equation and demonstrates their applications to various nonlinear equations, enhancing analytical methods in nonlinear differential equations.

Contribution

It introduces novel explicit solutions for the Lie9nard equation and applies these solutions to several important nonlinear equations, expanding solution techniques.

Findings

New explicit solutions for the Lie9nard equation

Applications to generalized Pochhammer-Chree, Kundu, and long-short wave resonance equations

Enhanced analytical methods for nonlinear differential equations

Abstract

In this letter, new exact explicit solutions are obtained for the Li\'enard equation, and the applications of the results to the generalized Pochhammer-Chree equation, the Kundu equation and the generalized long-short wave resonance equations are presented.