Darboux Transformation for the Hirota equation

Abstract

The Hirota equation is an integrable higher order nonlinear Schrödinger type equation which describes the propagation of ultrashort light pulses in optical fibers. We present a standard Darboux transformation for the Hirota equation and then construct its quasideterminant solutions. The multisoliton and breather solutions of the Hirota equation are given explicitly.

arXiv admin note: text overlap with arXiv:1501.07634

References in corpus (3)

• On a direct approach to quasideterminant solutions of a noncommutative modified KP equation
• Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
• Soliton Solutions of Noncommutative Anti-Self-Dual Yang-Mills Equations