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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 69, Number 2, Pages 307–310
(Mi tmf5229)
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This article is cited in 15 scientific papers (total in 15 papers)
Rational solitons of the Veselov–Novikov equations are reflectionless two-dimensional potentials at fixed energy
P. G. Grinevich
Abstract:
Explicit examples are constructed of two-dimensional rational potentials that decrease at infinity and are reflectionless for given energy. It is shown that these potentials correspond to soliton solutions of the (2+1)-dimensional nonlinear equations found by Veselov and Novikov.
Received: 11.11.1985
Citation:
P. G. Grinevich, “Rational solitons of the Veselov–Novikov equations are reflectionless two-dimensional potentials at fixed energy”, TMF, 69:2 (1986), 307–310; Theoret. and Math. Phys., 69:2 (1986), 1170–1172
Linking options:
https://www.mathnet.ru/eng/tmf5229 https://www.mathnet.ru/eng/tmf/v69/i2/p307
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