Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations
Exactly Solvable and Integrable Systems
2008-06-20 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
New manifestly gauge-invariant forms of two-dimensional generalized dispersive long-wave and Nizhnik-Veselov-Novikov systems of integrable nonlinear equations are presented. It is shown how in different gauges from such forms famous two-dimensional generalization of dispersive long-wave system of equations, Nizhnik-Veselov-Novikov and modified Nizhnik-Veselov-Novikov equations and other known and new integrable nonlinear equations arise. Miura-type transformations between nonlinear equations in different gauges are considered.
Cite
@article{arxiv.0802.2334,
title = {Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations},
author = {V. G. Dubrovsky and A. V. Gramolin},
journal= {arXiv preprint arXiv:0802.2334},
year = {2008}
}
Comments
13 pages, LaTeX, no figures