Darboux transformation and explicit solutions for some \((2+1)\)-dimensional equations

DOI10.1016/j.physleta.2007.02.043zbMath1203.35201OpenAlexW2155191380MaRDI QIDQ620904

Lijuan Shen, Yan Wang, Dianlou Du

Publication date: 20 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.02.043

zbMATH Keywords

explicit solutionNLS equationDarboux transformation\((2+1)\)-dimensional soliton equationcomplex mkdv equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

On the exact solutions of the Thomas equation by algebraic methods ⋮ Darboux transformation and multi-soliton solutions for some soliton equations ⋮ Darboux transformation and bidirectional soliton solutions of a new (2+1)-dimensional soliton equation ⋮ DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONS ⋮ Exact multi-wave solutions for the KdV equation

Cites Work

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• Letters in Mathematical Physics cumulative index, Volumes 30-32 (1994)
• Exact solutions for a compound KdV-Burgers equation
• Reductions of (2+1)-dimensional integrable systems via mixed potential-eigenfunction constraints
• The reductions of the Darboux transformation and some solutions of the soliton equations

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