Bäcklund transformation and Wronskian solitons for the \({(2+1)}\)-dimensional Nizhnik-Novikov-Veselov equations

DOI10.1016/j.jmaa.2013.01.009zbMath1306.35115OpenAlexW2017638638MaRDI QIDQ2257539

Wen-Rong Sun, Bo Tian, Yan Jiang, Min Li, Wen-Rui Shan

Publication date: 25 February 2015

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.2013.01.009

zbMATH Keywords

symbolic computationBäcklund transformationcollisionsWronskian determinantHirota form\((2+1)\)-dimensional Nizhnik-Novikov-Veselov equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Conservation laws, Lie symmetry and Painlevé analysis of the variable coefficients NNV equation, Bifurcations of traveling wave solutions for the \((2+1)\)-dimensional generalized asymmetric Nizhnik-Novikov-Veselov equation

Cites Work

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• The multisoliton solutions for the nonisospectral mKP equation
• Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
• Binary Bell Polynomials Approach to Generalized Nizhnik—Novikov—Veselov Equation
• Bäcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Soliton Solutions of Non-linear Evolution Equations
• The Korteweg–deVries Equation: A Survey of Results
• Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
• Method for Solving the Korteweg-deVries Equation
• On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
• Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• Exact Solutions for the Nonisospectral Kadomtshev–Petviashvili Equation