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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