4.5 Article

High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrodinger Equations

Journal

STUDIES IN APPLIED MATHEMATICS
Volume 130, Issue 4, Pages 317-344

Publisher

WILEY-BLACKWELL
DOI: 10.1111/j.1467-9590.2012.00568.x

Keywords

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Funding

  1. National Natural Science Foundation of China [10971222]
  2. Fundamental Research Funds for Central Universities

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By means of certain limit technique, two kinds of generalized Darboux transformations are constructed for the derivative nonlinear Schrodinger equations (DNLS). These transformations are shown to lead to two solution formulas for DNLS in terms of determinants. As applications, several different types of high-order solutions are calculated for this equation.

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