High‐Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrödinger Equations

2012/08/31 by Boling Guo, Liming Ling, Q. P. Liu · 2 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Fractional Differential Equations Solutions #Numerical methods for differential equations

paper · doi:10.1111/j.1467-9590.2012.00568.x

Abstract

By means of certain limit technique, two kinds of generalized Darboux transformations are constructed for the derivative nonlinear Schrödinger 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.

Cited by

• Rogue waves in the massive Thirring model
• On the N-elliptic localized solutions to the derivative nonlinear Schrödinger equation and their asymptotic analysis

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