On integration of the loaded mKdV equation in the class of rapidly decreasing functions

DOI10.26516/1997-7670.2021.38.19zbMath1483.35186OpenAlexW4205816625MaRDI QIDQ832970

Aknazar B. Khasanov, Umid Azadovich Hoitmetov

Publication date: 28 March 2022

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1391

zbMATH Keywords

Jost solutionsinverse scattering problemevolution of scattering dataGelfand-Levitan-Marchenko integral equationloaded modified Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (max. 100)

Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions ⋮ Integration of the Kaup-Boussinesq system with time-dependent coefficients ⋮ Integration of the mKdV Equation with nonstationary coefficients and additional terms in the case of moving eigenvalues ⋮ Интегрирование модифицированного уравнения Кортевега - де Фриза с зависящими от времени коэффициентами и с самосогласованным источником ⋮ Integration of the modified Korteweg-de Vries-Liouville equation in the class of periodic infinite-gap functions ⋮ On the Cauchy problem for the mKdV-sine-Gordon equation with an additional term ⋮ Unnamed Item ⋮ Integration of the sine-Gordon equation with a source and an additional term

Cites Work

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• An infinite hierarchy of symmetries associated with hyperbolic surfaces
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• Scattering of Solitons of Modified KdV Equation with Self-consistent Sources
• Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
• Integration of the loaded Korteweg-de Vries equation in the class of rapidly decreasing complex-valued functions
• On the Integration of the matrix modified Korteweg-de Vries equation with a self-consistent source
• Integrals of nonlinear equations of evolution and solitary waves

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