EXISTENCE OF KINK AND UNBOUNDED TRAVELING WAVE SOLUTIONS OF THE CASIMIR EQUATION FOR THE ITO SYSTEM

DOI10.11948/2017039zbMath1474.34284OpenAlexW2598849478MaRDI QIDQ5149593

Temesgen Desta Leta, Ji-Bin Li

Publication date: 11 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017039

zbMATH Keywords

exact solutionbifurcationkink wave solutionCasimir equation for Ito systemunbounded wave solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (3)

BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS OF M-N-WANG EQUATION ⋮ BIFURCATION OF TRAVELING WAVE SOLUTIONS OF THE <inline-formula><tex-math id="M1">$K(M, N)$</tex-math></inline-formula> EQUATION WITH GENERALIZED EVOLUTION TERM ⋮ GROUP-INVARIANT SOLUTIONS, NON-GROUP-INVARIANT SOLUTIONS AND CONSERVATION LAWS OF QIAO EQUATION

Cites Work

• Unnamed Item
• Solitons and other solutions to Boussinesq equation with power law nonlinearity and dual dispersion
• Solutions of coupled KdV-type equations
• Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Itô system
• Solutions to a Novel Casimir Equation for the Ito System
• Classification of two types of weak solutions to the Casimir equation for the Ito system
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS

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