Deformation and \((3+1)\)-dimensional integrable model

DOI10.1007/BF02908778zbMath0986.37062MaRDI QIDQ1585601

Jun Yu, Sen-yue Lou

Publication date: 16 November 2000

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

travelling waveintegrable modelheat conductive equationPainlevé integrability

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Partial differential equations of mathematical physics and other areas of application (35Q99) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

Dynamics of the generalized KP-MEW-Burgers equation with external periodic perturbation ⋮ Exact Traveling Wave Solutions and Bifurcation Analysis for Time Fractional Dual Power Zakharov-Kuznetsov-Burgers Equation ⋮ PERTURBED BEHAVIOR FOR THE MODEL OF WAVE PROPAGATION IN A NONLINEAR DISPERSIVE NONCONSERVATIVE MEDIA ⋮ Dynamical behavior in the perturbed compound KdV-Burgers equation ⋮ Variable separation solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Bifurcation and exact traveling wave solutions for dual power Zakharov-Kuznetsov-Burgers equation with fractional temporal evolution ⋮ Dynamical survey of the dual power Zakharov-Kuznetsov-Burgers equation with external periodic perturbation

Cites Work

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• Search for high dimensional integrable models
• Conformal invariant Painlevé expansions and higher-dimensional integrable models
• Lie transformations, nonlinear evolution equations, and Painlevé forms
• Method for Solving the Korteweg-deVries Equation
• Painleve property and pseudopotentials for nonlinear evolution equations
• New similarity reductions of the Boussinesq equation
• The Painlevé property for partial differential equations
• Integrable and solvable systems, and relations among them
• Deformations of the Riccati equation by using Miura-type transformations
• Searching for Higher Dimensional Integrable Models from Lower Ones via Painlevé Analysis
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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