Dressing for a novel integrable generalization of the nonlinear Schrödinger equation

Abstract

We implement the dressing method for a novel integrable generalization of the nonlinear Schrödinger equation. As an application, explicit formulas for the $N$-soliton solutions are derived. As a by-product of the analysis, we find a simplification of the formulas for the $N$-solitons of the derivative nonlinear Schrödinger equation given by Huang and Chen.

12 pages, minor changes made

References in corpus (2)

• On a novel integrable generalization of the nonlinear Schrödinger equation
• An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons

Cited by in corpus (3)

• Two-fold integrable hierarchy of nonholonomic deformation of the DNLS and the Lenells-Fokas equation
• Leading-order temporal asymptotics of the Fokas-Lenells Equation without solitons
• Long-time asymptotics for initial-boundary value problems of integrable Fokas-Lenells equation on the half-line