Darboux transformation for two component derivative nonlinear Schr\"odinger equation
Liming Ling, Q. P. Liu
TL;DR
This paper develops a Darboux transformation for the two-component derivative nonlinear Schrödinger equation, enabling the explicit construction of multi-soliton solutions and advancing analytical methods for this nonlinear system.
Contribution
It introduces a simple Darboux transformation for the two-component derivative nonlinear Schrödinger equation and provides a compact form for multi-soliton solutions.
Findings
Explicit N-soliton solutions derived
Darboux transformation simplifies solution construction
Enhanced analytical tools for multi-component DNLS equations
Abstract
In this paper, we consider the two component derivative nonlinear Schr\"{o}dinger equation and present a simple Darboux transformation for it. By iterating this Darboux transformation, we construct a compact representation for the soliton solutions.
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