New exact solutions to the Zakharov-Kuznetsov equation and its generalized form

DOI10.1016/j.cnsns.2009.05.011zbMath1221.35328OpenAlexW1997184295MaRDI QIDQ718173

Chaofa Deng

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.011

zbMATH Keywords

solitonssolitary wave solutionsZakharov-Kuznetsov equationcomplex solutionsperiodic travelling wave solutionsextended hyperbolic function method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (2)

Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation ⋮ Traveling wave solutions of a generalized Zakharov-Kuznetsov equation

Cites Work

• The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
• Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation
• Nonlinear dispersive ZK\((n,n)\) equations: new compacton solutions and solitary pattern solutions
• Compactons and solitary patterns structures for variants of the KdV and the KP equations
• Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation.
• Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures
• Exact solutions with solitons and periodic structures for the Zakharov-Kuznetsov (ZK) equation and its modified form
• Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system
• A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
• Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
• The extended hyperbolic function method and exact solutions of the long-short wave resonance equations
• The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations
• The Painlevé analysis of the Zakharov-Kuznetsov equation
• Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions
• A study of nonlinear dispersive equations with solitary-wave solutions having compact support

This page was built for publication: New exact solutions to the Zakharov-Kuznetsov equation and its generalized form