Jordan KdV systems and Painlevé property

DOI10.1007/BF02435890zbMath0873.35081OpenAlexW2069546089MaRDI QIDQ1356582

Ayşe Karasu

Publication date: 1 October 1997

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

Full work available at URL: https://doi.org/10.1007/bf02435890

zbMATH Keywords

Painlevé analysisWTC testJordan KdV systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (9)

Multi-soliton solutions of the generalized variable-coefficient Bogoyavlenskii equation ⋮ Integrability and exact solutions of a two-component Korteweg-de Vries system ⋮ Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system ⋮ Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system ⋮ Painlevé classification of coupled Korteweg–de Vries systems ⋮ On the solutions and conservation laws of a coupled KdV system ⋮ A generalization of recursion operators of differential equations ⋮ Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation ⋮ INTEGRABILITY OF A NONAUTONOMOUS COUPLED KdV SYSTEM

Cites Work

• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé property for partial differential equations
• Bäcklund transformation and the Painlevé property
• Unnamed Item

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