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<i>N</i>-Fold Darboux Transformation for a Nonlinear Evolution Equation
College of Science, University of Shanghai for Science and Technology, Shanghai, China
- 1 College of Science, University of Shanghai for Science and Technology, Shanghai, China
Applied Mathematics·Volume 03 (2012)·Pages 943–948·Published 28 August 2012·DOI10.4236/am.2012.38141
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Abstract
In this paper, we present a N -fold Darboux transformation (DT) for a nonlinear evolution equation. Comparing with other types of DTs, we give the relationship between new solutions and the trivial solution. The DT presented in this paper is more direct and universal to obtain explicit solutions.
KeywordsDarboux TransformationDerivative Nonlinear Schrödinger EquationExplicit Solution
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