SUB-MANIFOLD AND TRAVELING WAVE SOLUTIONS OF ITO'S 5TH-ORDER MKDV EQUATION

DOI10.11948/2017086zbMath1453.34046OpenAlexW2761123238MaRDI QIDQ5121517

Chaudry Masood Khalique, Li-jun Zhang, Hai-Xia Chang

Publication date: 15 September 2020

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

Full work available at URL: https://doi.org/10.11948/2017086

zbMATH Keywords

traveling wave solutionsplanar dynamical systemsIto's 5th-order mKdV equationsubequations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items

The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations ⋮ PEAKON AND CUSPON SOLUTIONS OF A GENERALIZED CAMASSA-HOLM-NOVIKOV 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

Uses Software

• ATFM

Cites Work

• Unnamed Item
• Unnamed Item
• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• Exp-function method for nonlinear wave equations
• The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• A sine-cosine method for handling nonlinear wave equations
• A note on the Jacobi elliptic function expansion method
• Exact solitary wave and quasi-periodic wave solutions of the KdV-Sawada-Kotera-Ramani equation
• Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind
• Shock wave solutions of the compound Burgers-Korteweg-de Vries equation
• Extended tanh-function method and its applications to nonlinear equations
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• Bifurcations and highly nonlinear traveling waves in periodic dimer granular chains
• Nonlinear travelling waves in a rod composed of a modified Mooney–Rivlin material. I. Bifurcation of critical points and the non–singular case
• Effects of Quadratic Singular Curves in Integrable Equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

This page was built for publication: SUB-MANIFOLD AND TRAVELING WAVE SOLUTIONS OF ITO'S 5TH-ORDER MKDV EQUATION