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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:nlin/0210012 (nlin)
[Submitted on 7 Oct 2002]

Title:Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation

Authors:Heng-chun Hu, Sen-yue Lou, Qing-ping Liu
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Abstract: Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary functions, the once Darboux transformation yields the variable separable solutions which can be obtained from the truncated Painlevé analysis and the twice Darboux transformation leads to some new variable separable solutions which are the generalization of the known results obtained by using a guess ansatz to solve the generalized trilinear equation.
Comments: 12 pages, 6 figures
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:nlin/0210012 [nlin.SI]
  (or arXiv:nlin/0210012v1 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.nlin/0210012
Related DOI: https://doi.org/10.1088/0256-307X/20/9/301

Submission history

From: Sen-yue Lou [view email]
[v1] Mon, 7 Oct 2002 23:43:56 UTC (222 KB)
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