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This article is cited in 32 scientific papers (total in 32 papers)
Integrating the Korteweg–de Vries Equation with a Self-Consistent Source and “Steplike” Initial Data
G. U. Urazboev, A. B. Khasanov Al-Kharezmi Urgench State University, Khorezm, Uzbekistan
Abstract:
It is shown that “steplike” solutions of the Korteweg–de Vries equation with a self-consistent source can be found by the inverse scattering method for the Sturm–Liouville operator on the entire real line.
Received: 16.12.2000
Citation:
G. U. Urazboev, A. B. Khasanov, “Integrating the Korteweg–de Vries Equation with a Self-Consistent Source and “Steplike” Initial Data”, TMF, 129:1 (2001), 38–54; Theoret. and Math. Phys., 129:1 (2001), 1341–1356
Linking options:
https://www.mathnet.ru/eng/tmf518https://doi.org/10.4213/tmf518 https://www.mathnet.ru/eng/tmf/v129/i1/p38
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