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This article is cited in 4 scientific papers (total in 4 papers)
Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations
A. V. Yurov Kaliningrad State University
Abstract:
We construct dressing chains of discrete symmetries for the Kadomtsev–Petviashvili equations and show that these equations admit two types of chains, which we call conjugate. We discuss the scheme of constructing dressing chains for the Boiti–Leon–Pempinelli equations. We find a nonsingular solution of these equations that is exponentially localized along some directions in the dissipative plane and is rational along other directions.
Received: 21.10.1998
Citation:
A. V. Yurov, “Conjugate chains of discrete symmetries in $(1+2)$ nonlinear equations”, TMF, 119:3 (1999), 419–428; Theoret. and Math. Phys., 119:3 (1999), 731–738
Linking options:
https://www.mathnet.ru/eng/tmf749https://doi.org/10.4213/tmf749 https://www.mathnet.ru/eng/tmf/v119/i3/p419
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Abstract page: | 358 | Full-text PDF : | 200 | References: | 60 | First page: | 1 |
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