Dressing for a novel integrable generalization of the nonlinear Schrödinger equation
Preprint
Abstract
We implement the dressing method for a novel integrable generalization of the nonlinear Schr\"odinger 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 Schr\"odinger equation given by Huang and Chen.Keywords
All Related Versions
This publication has 3 references indexed in Scilit:
- Exactly Solvable Model for Nonlinear Pulse Propagation in Optical FibersStudies in Applied Mathematics, 2009
- On a class of physically important integrable equationsPhysica D: Nonlinear Phenomena, 1995
- An integrable shallow water equation with peaked solitonsPhysical Review Letters, 1993