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This article is cited in 1 scientific paper (total in 1 paper)
Integration of the Hirota equation with time-dependent coefficients
U. A. Khoitmetov Al-Khorezmi Urgench State University, Urgench,
Uzbekistan
Abstract:
The Hirota equation with time-dependent coefficients can be integrated in the class of rapidly decreasing functions using the inverse scattering problem. An example illustrating the application of the obtained results is given. The Cauchy problem for the loaded Hirota equation is solved in the class of rapidly decreasing functions.
Keywords:
inverse scattering transform method, scattering data, Hirota equation, Gelfand–Levitan–Marchenko integral equation.
Received: 16.05.2022 Revised: 03.08.2022
Citation:
U. A. Khoitmetov, “Integration of the Hirota equation with time-dependent coefficients”, TMF, 214:1 (2023), 30–42; Theoret. and Math. Phys., 214:1 (2023), 24–35
Linking options:
https://www.mathnet.ru/eng/tmf10312https://doi.org/10.4213/tmf10312 https://www.mathnet.ru/eng/tmf/v214/i1/p30
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Abstract page: | 193 | Full-text PDF : | 21 | Russian version HTML: | 143 | References: | 40 | First page: | 20 |
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