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

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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

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Exactly Solvable and Integrable Systems, Mathematical Physics, Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/163213

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.2334
 http://arxiv.org/abs/0802.2334
 J. Phys. A: Math. Theor. 41 (2008) 275208
 doi:10.1088/1751-8113/41/27/275208

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arXiv