Exact travelling wave solutions for the Zakharov-Kuznetsov equation

DOI10.1016/j.amc.2007.08.095zbMath1138.76026OpenAlexW2055103281MaRDI QIDQ928056

Yan-Ze Peng

Publication date: 11 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.08.095

zbMATH Keywords

periodic solutionsJacobi elliptic functionsextended mapping method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

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Cites Work

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• Nonclassical analysis for the Zakharov-Kuznetsov equation
• Nonlinear ion-acoustic waves in weak magnetic fields
• Solitary waves in active-dissipative dispersive media
• New Exact Solutions to a New Hamiltonian Amplitude Equation. II
• Exact solutions to the combined KdV–mKdV equation by the extended mapping method

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