The Painlevé tests, Bäcklund transformation and bilinear form for the KdV equation with a self-consistent source

DOI10.1155/2012/872385zbMath1244.35129OpenAlexW1997711928WikidataQ58700827 ScholiaQ58700827MaRDI QIDQ444304

Xiaomei Feng, Fengqin Zhang, Yali Shen

Publication date: 14 August 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/872385

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (1)

Solutions and Painlevé property for the KdV equation with self-consistent source

Cites Work

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• A bilinear Bäcklund transformation of a \((3+1)\)-dimensional generalized KP equation
• Bilinear transformation method
• The \(N\)-soliton solutions of some soliton equations with self-consistent sources
• Solving the KdV hierarchy with self-consistent sources by inverse scattering method
• Integration of the soliton hierarchy with self-consistent sources
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Painlevé Tests, Singularity Structure and Integrability
• A Backlund transformation and nonlinear superposition formula of a higher-order Ito equation
• New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
• Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
• The Lax representation and Darboux transformation for constrained flows of the AKNS hierarchy

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