Similarity and conditional similarity reductions of a (2+1)-dimensional KdV equation via a direct method

DOI10.1063/1.1320859zbMath1004.37047OpenAlexW1983992365MaRDI QIDQ2731839

Xiao-yan Tang, Ji Lin, Sen-yue Lou

Publication date: 30 July 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1320859

zbMATH Keywords

dimensional reductionKdV equationsimilarity solutionsLie group symmetryClarkson and Kruskal methodconditional similarity reductions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

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Cites Work

• Symmetry reductions and exact solutions of shallow water wave equations
• Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
• N-Soliton Solutions of Model Equations for Shallow Water Waves
• New similarity reductions of the Boussinesq equation
• The Painlevé property for partial differential equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• New symmetry reductions and exact solutions of the Davey–Stewartson system. I. Reductions to ordinary differential equations
• Hydrodynamic Foundation and Painlevé Analysis of Hirota-Satsuma-Type Equations
• Nonclassical symmetry reductions for the dispersive wave equations in shallow water

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