Different physical structures of solutions for two related Zakharov-Kuznetsov equations

DOI10.1016/J.PHYSLETA.2008.08.071zbMath1225.76305OpenAlexW2086591783MaRDI QIDQ644098

Jun Yin, Shaoyong Lai, Yong-Hong Wu

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.08.071

zbMATH Keywords

explicit solutionsnonlinear equationsvariable coefficientsauxiliary equation method

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Hydro- and aero-acoustics (76Q05) Magnetohydrodynamics and electrohydrodynamics (76W05) Dusty-gas two-phase flows (76T15) Traveling wave solutions (35C07) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

Related Items (4)

Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and \(t\)-dependent coefficients ⋮ 1-soliton solution of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and time-dependent coefficients ⋮ On Weierstrass elliptic function solutions for a \((N+1)\) dimensional potential KdV equation ⋮ 1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity

Uses Software

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Cites Work

• Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• Application of Exp-function method for nonlinear evolution equations with variable coefficients
• Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
• Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion
• Approximate analytical solution for the Zakharov-Kuznetsov equations with fully nonlinear dispersion
• Explicit travelling wave solutions of variants of the \(K(n,n)\) and the \(ZK(n,n)\) equations with compact and noncompact structures
• Compactons, solitons and periodic solutions for some forms of nonlinear Klein--Gordon equations
• The Painlevé analysis of the Zakharov-Kuznetsov equation
• Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA

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