Painlevé analysis and symmetry group for the coupled Zakharov-Kuznetsov equation

DOI10.1016/j.physleta.2011.07.058zbMath1252.76015OpenAlexW2078261657MaRDI QIDQ691922

M. C. Fu

Publication date: 4 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.07.058

zbMATH Keywords

Painlevé analysiscoupled ZK equationsymmetry group transformation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Meteorology and atmospheric physics (86A10) Stability and instability of geophysical and astrophysical flows (76E20) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Unnamed Item
• New positon, negaton and complexiton solutions for the Hirota-Satsuma coupled KdV system
• New positon, negaton and complexiton solutions for the Bogoyavlensky-Konoplechenko equation
• Symmetry and integration methods for differential equations
• A polynomial expansion method and its application in the coupled Zakharov-Kuznetsov equations
• New similarity reductions of the Boussinesq equation
• The Painlevé property for partial differential equations
• A new truncation in Painleve analysis
• Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
• (2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions
• The two-singular-manifold method: I. Modified Korteweg-de Vries and sine-Gordon equations
• The two-singular manifold method: II. Classical Boussinesq system

This page was built for publication: Painlevé analysis and symmetry group for the coupled Zakharov-Kuznetsov equation