Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

Guo, Boling; Ling, Liming; Liu, Q.P.

doi:10.1103/physreve.85.026607

Public

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

Published in Physical Review E • Feb 27, 2012

Authors:

Boling Guo

Liming Ling

Q.P. Liu

Abstract

In this paper, we construct a generalized Darboux transformation for the nonlinear Schrödinger equation. The associated N-fold Darboux transformation is given in terms of both a summation formula and determinants. As applications, we obtain compact representations for the Nth-order rogue wave soluti...

Subject

Rogue wave

Transformation (genetics)

Nonlinear system

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