A vector asymmetrical NNV equation: soliton solutions, bilinear Bäcklund transformation and Lax pair

DOI10.1016/J.JMAA.2008.02.057zbMath1142.35080OpenAlexW2024200324MaRDI QIDQ929536

Hon-Wah Tam, Guo-Fu Yu

Publication date: 17 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.057

zbMATH Keywords

PfaffianBäcklund transformationLax pairsoliton solutionasymmetrical Nizhnik-Novikov-Veselov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) 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 (9)

Discrete Analogues of a Negative Order AKNS Equation ⋮ Travelling wave solutions for the \((2+1)\) dimensional Nizhnik-Novikov-Veselov equation ⋮ Exact solutions to a coupled modified KdV equations with non-uniformity terms ⋮ Bifurcations of traveling wave solutions for the \((2+1)\)-dimensional generalized asymmetric Nizhnik-Novikov-Veselov equation ⋮ Multi-component semi-discrete coupled dispersionless integrable system, its Lax pair and Darboux transformation ⋮ Exact solitons of an $$N$$-component discrete coupled integrable system ⋮ On the Discretization of the Coupled Integrable Dispersionless Equations ⋮ Soliton solution of a multi-component higher-order Ito equation ⋮ Soliton solutions to an integrable coupled differential-difference equation

Cites Work

• Solitons and infinite dimensional Lie algebras
• A vector potential KdV equation and vector Ito equation: Soliton solutions, bilinear Bäcklund transformations and Lax pairs.
• Interacting Korteweg-de Vries Equations and Attractive Soliton Interaction
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• On the Moutard transformation for integrable partial differential equations
• Soliton Solutions of a Coupled Modified KdV Equations
• A wave equation in 2+1: Painleve analysis and solutions
• Theory of a Solid State Plasma Waveguide in a Transverse Magnetic Field

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