On explicit exact solutions for the Lienard equation and its applications

DOI10.1016/S0375-9601(01)00823-4zbMath0980.35042OpenAlexW1978418325MaRDI QIDQ5953300

Zhao-sheng Feng

Publication date: 22 January 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00823-4

zbMATH Keywords

nonlinear Schrö dinger equationPochhammer-Chree equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (21)

Exact solutions to the Liénard equation and its applications ⋮ New chirped gray and kink self-similar waves in presence of quintic nonlinearity and self-steepening effect ⋮ New explicit and exact traveling wave solutions for two nonlinear evolution equations ⋮ A numerical solution of fractional Lienard's equation by using the residual power series method ⋮ The exact solutions of the conformable time fractional version of the generalized Pochhammer-Chree equation ⋮ Travelling wave solutions to the generalized Pochhammer-Chree (PC) equations using the first integral method ⋮ Exact Solutions for the Liénard Type Model via Fractional Homotopy Methods ⋮ Duffing's equation and its applications to the Hirota equation ⋮ A note on ``On explicit exact solutions for the Liénard equation and its applications ⋮ A fast and efficient scheme for solving a class of nonlinear Lienard's equations ⋮ Traveling solitary wave solutions to evolution equations with nonlinear terms of any order ⋮ The extended first kind elliptic sub-equation method and its application to the generalized reaction Duffing model ⋮ Unnamed Item ⋮ Necessary and sufficient conditions for exponential stability of a family of generalized Liénard differential equations ⋮ A modified numerical scheme and convergence analysis for fractional model of Lienard's equation ⋮ Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order ⋮ Series solution to the Pochhammer-Chree equation and comparison with exact solutions ⋮ A numerical implementation of the decomposition method for the Lienard equation ⋮ Analytic bounded travelling wave solutions of some nonlinear equations ⋮ A reliable analytical method for solving higher-order initial value problems ⋮ GUDERMANNIAN NEURAL NETWORKS TO INVESTIGATE THE LIÉNARD DIFFERENTIAL MODEL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Explicit exact solutions for the Liénard equation and its applications
• Solitary-Wave Interactions in Elastic Rods
• Dynamics of the Van der Pol equation
• The inverse scattering transform: Semi-infinite interval
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

This page was built for publication: On explicit exact solutions for the Lienard equation and its applications