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Integrable nonlinear evolutions in 2+1 dimensions with non-analytic dispersion relations

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Published under licence by IOP Publishing Ltd
, , Citation M Boiti et al 1988 J. Phys. A: Math. Gen. 21 3611 DOI 10.1088/0305-4470/21/18/015

0305-4470/21/18/3611

Abstract

The authors develop a method of obtaining two-dimensional integrable evolutions corresponding to singular dispersion relations. The method is applied to the 2*2 linear first-order eigenvalue problem and the inverse spectral transform scheme is established. The Backlund transformation and a non-linear superposition formula are used to obtain the soliton solutions.

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10.1088/0305-4470/21/18/015