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Rogue wave solutions of the (2+1)-dimensional derivative nonlinear Schrödinger equation

Research paper by Li-Li Wen, Hai-Qiang Zhang

Indexed on: 08 Jul '16Published on: 08 Jul '16Published in: Nonlinear Dynamics



Abstract

In this paper, we focus on the construction of rogue wave solutions for the (2+1)-dimensional derivative nonlinear Schrödinger equation. The N-order generalized Darboux transformation is obtained, and the determinant form of N-order rogue waves is also presented by taking limit on the classical Darboux transformation. On the plane wave solution background, two different kinds of rogue wave solutions (linear rogue wave and parabolic rogue wave) are constructed successively. The characteristics of two types of rogue waves are analyzed by some figures and physical qualities.