Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation

DOI10.1016/j.amc.2010.02.030zbMath1191.37036OpenAlexW1988741578MaRDI QIDQ972185

Deng-Shan Wang

Publication date: 25 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.030

zbMATH Keywords

Bäcklund transformationlinear spectral problemsingularity analysiscoupled KdV systemprolongation structure

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Cites Work

• Bäcklund loop algebras for compact and noncompact nonlinear spin models in \(2+1\) dimensions
• An exterior differential system for a generalized Korteweg-de Vries equation and its associated integrability
• Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation
• Coupled KdV equations with multi-Hamiltonian structures
• Jordan algebras and generalized Korteweg-de Vries equations
• Jordan algebras and integrable systems
• Jordan KdV systems and Painlevé property
• Degenerate Svinolupov KdV systems
• On the Relation between Lie Symmetries and Prolongation Structures of Nonlinear Field Equations: Non-Local Symmetries
• On the (2+1)-Dimensional Integrable Inhomogeneous Heisenberg Ferromagnet Equation
• The prolongation structures of quasi-polynomial flows
• An integrable hierarchy with a perturbed Hénon–Heiles system
• The Painlevé property for partial differential equations
• Generalised KdV and MKdV equations associated with symmetric spaces
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• Prolongation algebras and Hamiltonian operators for peakon equations
• Nonlinear \((2+1)\)-dimensional field equations from incomplete Lie algebra structures

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