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

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dc.creatorDubrovsky, V. G.
dc.creatorGramolin, A. V.
dc.date2008-02-17
dc.date2008-06-20
dc.date.accessioned2026-07-07T09:45:30Z
dc.date.available2026-07-07T09:45:30Z
dc.descriptionNew 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.
dc.description13 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/0802.2334
dc.identifierhttp://arxiv.org/abs/0802.2334
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 275208
dc.identifierdoi:10.1088/1751-8113/41/27/275208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163213
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleGauge-invariant description of some (2+1)-dimensional integrable nonlinear evolution equations
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