Painlevé analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation

DOI10.1016/S0960-0779(96)00170-1zbMath0939.35168MaRDI QIDQ1963222

T. Alagesan, K. Porsezian, A. Uthayakumar

Publication date: 24 January 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

bilinear transformationintegrability properties of a nonautonomous K-dV equation through Painlevé analysis

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)

Cites Work

• A unified approach to Painlevé expansions
• Some new integrable equations from the self-dual Yang-Mills equations
• Generalized \(x\)-dependent modified Korteweg-de Vries equation: Painlevé analysis, Bäcklund transformation and soliton solutions
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system