Generalized \(x\)-dependent modified Korteweg-de Vries equation: Painlevé analysis, Bäcklund transformation and soliton solutions

DOI10.1016/0375-9601(96)00582-8zbMath0972.37544OpenAlexW2071687644MaRDI QIDQ1967985

K. Porsezian

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(96)00582-8

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Darboux transformation and Hamiltonian structure for the Jaulent-Miodek hierarchy ⋮ Parallel physics-informed neural networks method with regularization strategies for the forward-inverse problems of the variable coefficient modified KdV equation ⋮ Painlevé analysis of a new integrable nonautonomous Korteweg-de Vries (K-dV) equation

Cites Work

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• A unified approach to Painlevé expansions
• Painlevé property of the inhomogeneous deformed Kaup system
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• On the integrability and singularity structure aspects of deformed nonlinear evolution equations of AKNS type
• On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
• The singular manifold method revisited

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