N-soliton solution, generalized double Wronskian determinant solution and rational solution for a (2+1)-dimensional nonlinear evolution equation

DOI10.1016/j.physleta.2008.10.071zbMath1227.37020OpenAlexW2034390776MaRDI QIDQ647044

Jian-Ping Wu

Publication date: 30 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.10.071

zbMATH Keywords

rational solution\(N\)-soliton solutiondouble Wronskian determinant(2+1)-dimensional nonlinear evolution equation

Mathematics Subject Classification ID

Related Items (14)

Rational solutions, and the interaction solutions to the (2 + 1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation ⋮ Exact traveling wave solutions to the \((2 + 1)\)-dimensional Jaulent-Miodek equation ⋮ Four \((2 + 1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation ⋮ New explicit traveling wave solutions for three nonlinear evolution equations ⋮ The EHTA for nonlinear evolution equations ⋮ Exact wave solutions for a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation ⋮ Two new Wronskian conditions for the (3+1)-dimensional Jimbo-Miwa equation ⋮ Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy ⋮ Explicit solutions to the \((3+1)\)-dimensional Kudryashov-Sinelshchikov equations in bubbly flow dynamics ⋮ Two different classes of Wronskian conditions to a \((3 + 1)\)-dimensional generalized shallow water equation ⋮ Wronskian determinant solutions of the \((3+1)\)-dimensional Jimbo-Miwa equation ⋮ Rational solutions for a \((2+1)\)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy ⋮ Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations ⋮ Four \((2+1)\)-dimensional integrable extensions of the KdV equation: multiple-soliton and multiple singular soliton solutions

Cites Work

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• Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
• Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
• The Modified Korteweg-de Vries Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• The inverse scattering transform: Semi-infinite interval
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations

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