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• W1972311410 abstract "A new integrable class of systems of nonlinear partial differential equations (NPDEs) in 2+1 dimensions is derived from the matrix Nizhnik–Novikov–Veselov (NVV) equation by means of an asymptotically exact nonlinear reduction method based on Fourier expansion and spatio-temporal rescaling. The integrability by the inverse scattering method is explicitly demonstrated, by applying the reduction technique also to the Lax pair of the starting matrix equation and thereby obtaining the Lax pair for the new class of systems of equations. A reduction to a system of two interacting complex fields is briefly described." @default.
• W1972311410 created "2016-06-24" @default.
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• W1972311410 date "2002-12-20" @default.
• W1972311410 modified "2023-10-13" @default.
• W1972311410 title "The investigation into new integrable systems of equations in 2+1-dimensions" @default.
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• W1972311410 doi "https://doi.org/10.1063/1.1525405" @default.
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