Novel integrable higher-dimensional nonlinear Schroedinger equation: properties, solutions, applications
Exactly Solvable and Integrable Systems
2013-05-20 v1
Abstract
An integrable extension of the well known nonlinear Schroedinger (NLS) equation to a higher space-dimension, recently proposed by us, is investigated, exploring its various important aspects. Focusing on the idea of construction its connection with other known models like the Zakharov equation and the Strachan construction is shown. The underlying integrable structures like the Lax pair, the infinite conserved charges and the higher soliton solutions are presented in the explicit form. The related 2D rogue wave model and other applications are focused on.
Cite
@article{arxiv.1305.4023,
title = {Novel integrable higher-dimensional nonlinear Schroedinger equation: properties, solutions, applications},
author = {Anjan Kundu and Abhik Mukherjee},
journal= {arXiv preprint arXiv:1305.4023},
year = {2013}
}
Comments
14 pages, 4 figures, latex