Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations
arXiv:0802.2334 · doi:10.1088/1751-8113/41/27/275208
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.
13 pages, LaTeX, no figures