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arXiv · 0802.2334

Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations

V. G. Dubrovsky·A. V. Gramolin
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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.

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V. G. Dubrovsky, A. V. Gramolin. 2008-06-20. Gauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations. https://doi.org/10.1088/1751-8113/41/27/275208

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