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This article is cited in 23 scientific papers (total in 23 papers)
Boundary value problem for the KdV equation on a half-line
V. E. Adlera, I. T. Habibullina, A. B. Shabatb a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
The $L$–$A$ pair corresponding to the boundary value problem with the condition $u|_{x=0}=a$ for the KdV equation is presented. A broad class of exact solutions to this equation is constructed and the conservation laws are discussed.
Received: 01.08.1996
Citation:
V. E. Adler, I. T. Habibullin, A. B. Shabat, “Boundary value problem for the KdV equation on a half-line”, TMF, 110:1 (1997), 98–113; Theoret. and Math. Phys., 110:1 (1997), 78–90
Linking options:
https://www.mathnet.ru/eng/tmf955https://doi.org/10.4213/tmf955 https://www.mathnet.ru/eng/tmf/v110/i1/p98
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