DOI: 10.1063/1.523737 ISSN:
An exact solution for a derivative nonlinear Schrödinger equation
David J. Kaup, Alan C. Newell- Mathematical Physics
- Statistical and Nonlinear Physics
A method of solution for the ’’derivative nonlinear Schrödinger equation’’ iqt=−qxx±i (q*q2)x is presented. The appropriate inverse scattering problem is solved, and the one-soliton solution is obtained, as well as the infinity of conservation laws. Also, we note that this equation can also possess ’’algebraic solitons.’’