Periodic Wave Solutions of Generalized Derivative Nonlinear Schrödinger Equation

Abstract

A Darboux transformation of the generalized derivative nonlinear Schrödinger equation is derived. As an application, some new periodic wave solutions of the generalized derivative nonlinear Schrödinger equation are explicitly given.

Solitary wave solutions to the generalized coupled mKdV equation with multi-component

“…At the same time, many methods have been used to study soliton equations and hierarchies, as the Inverse Scattering transformation (IST), the Hirota's bilinear method, the Wronskian technique, the trace and variational identity, the Bäcklund and Darboux transformation(DT) and so on [1][2][3][4][5][6][7][8][9][10][11][12][13]. Among them, DT method based on Lax pairs has been proven to be one of the most fruitful algorithmic procedures to get exact solutions of the soliton equations.…”