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

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

2008-02-17

arxiv.org/abs/0802.2334v2

J. Phys. A: Math. Theor. 41 (2008) 275208

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTeX, no figures

Scientific paper

10.1088/1751-8113/41/27/275208

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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