Painlevé analysis and Bäcklund transformation for a three-dimensional Kadomtsev-Petviashvili equation

DOI10.1016/S0960-0779(96)00166-XzbMath0939.35167MaRDI QIDQ1963193

K. Porsezian, T. Alagesan, A. Uthayakumar

Publication date: 24 January 2000

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

zbMATH Keywords

integrability propertiesBäcklund transformationPainlevé test

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (9)

Dynamics of soliton waves of group-invariant solutions through optimal system of an extended KP-like equation in higher dimensions with applications in medical sciences and mathematical physics ⋮ New interaction solutions of \((3+1)\)-dimensional KP and \((2+1)\)-dimensional Boussinesq equations ⋮ Application of the \((\frac{G'}{G})\)-expansion method to \((3 +1)\)-dimensional nonlinear evolution equations ⋮ Shape-changed propagations and interactions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluids ⋮ Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE ⋮ Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method ⋮ New exact traveling wave solutions of the \((3 + 1)\) dimensional Kadomtsev-Petviashvili (KP) equation ⋮ Soliton deflexion for \((1 + 3)\)D Kadomtsev-Petviashvili equation ⋮ New explicit and exact traveling wave solutions of \((3+1)\)-dimensional KP equation

Cites Work

• Unnamed Item
• The Painlevé property for partial differential equations
• Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
• On the dynamics of the radially symmetric Heisenberg ferromagnetic spin system
• On three-dimensional packets of surface waves

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