Nonclassical analysis for the Zakharov-Kuznetsov equation

DOI10.1007/BF00670990zbMath0830.35122OpenAlexW2319612319MaRDI QIDQ1891463

Chang-Zheng Qu

Publication date: 13 June 1995

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00670990

zbMATH Keywords

similarity reductionssymmetry groupnonlinear ion-acoustic waves in a magnetized plasma

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items

Algorithmic framework for group analysis of differential equations and its application to generalized Zakharov-Kuznetsov equations ⋮ Management of modulated wave solitons in a two-dimensional nonlinear transmission network ⋮ Exact travelling wave solutions for the Zakharov-Kuznetsov equation ⋮ Topological and non-topological solitons for the generalized Zakharov-Kuznetsov modified equal width equation

Cites Work

• Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
• Nonlinear waves: Change of structure and collapse
• New similarity reductions of the Boussinesq equation
• New similarity solutions for the modified Boussinesq equation
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Nonlinear solutions of drift cyclotron modes in mirror devices
• Symmetries of the Kadomtsev-Petviashvili equation
• The Painlevé analysis of the Zakharov-Kuznetsov equation
• Nonclassical symmetry reductions for the dispersive wave equations in shallow water
• Unnamed Item
• Unnamed Item
• Unnamed Item