Bilinearization of a Generalized Derivative Nonlinear Schr\"odinger equation
solv-int
2016-09-08 v1 Exactly Solvable and Integrable Systems
Abstract
A generalized derivative nonlinear Schr\"odinger equation, \ii q_t + q_{xx} + 2\ii \gamma |q|^2 q_x + 2\ii (\gamma-1)q^2 q^*_x + (\gamma-1)(\gamma-2)|q|^4 q = 0 , is studied by means of Hirota's bilinear formalism. Soliton solutions are constructed as quotients of Wronski-type determinants. A relationship between the bilinear structure and gauge transformation is also discussed.
Cite
@article{arxiv.solv-int/9501005,
title = {Bilinearization of a Generalized Derivative Nonlinear Schr\"odinger equation},
author = {Saburo Kakei and Narimasa Sasa and Junkichi Satsuma},
journal= {arXiv preprint arXiv:solv-int/9501005},
year = {2016}
}
Comments
7 pages, LaTeX file, no figures