Relativistic Burgers and Nonlinear Schr\"odinger Equations
Mathematical Physics
2009-01-14 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
Relativistic complex Burgers-Schr\"odinger and Nonlinear Schr\"odinger equations are constructed. In the non-relativistic limit they reduce to the standard Burgers and NLS equations respectively and are integrable at any order of relativistic corrections.
Keywords
Cite
@article{arxiv.0901.1399,
title = {Relativistic Burgers and Nonlinear Schr\"odinger Equations},
author = {Oktay K. Pashaev},
journal= {arXiv preprint arXiv:0901.1399},
year = {2009}
}
Comments
11 pages, contribution to Proceedings of Conference, Nonlinear Physics. Theory and Experiment V, Gallipoli, Italy 2008; to appear in Theoretical and Mathematical Physics