Integration of the sine-Gordon equation with a source and an additional term

DOI10.1016/S0034-4877(22)00067-2MaRDI QIDQ2106341

Umid Azadovich Hoitmetov

Publication date: 14 December 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

sine-Gordon equationJost solutionsinverse scattering problemevolution of scattering dataGelfand-Levitan-Marchenko integral equation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

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Cites Work

• Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues
• On integration of the loaded mKdV equation in the class of rapidly decreasing functions
• Revisiting Salerno's sine-Gordon model of DNA: active regions and robustness
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• Integration of the matrix modified Korteweg-de Vries equation with an integral-type source
• The Sylvester equation and integrable equations: the Ablowitz-Kaup-Newell-Segur system
• Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions
• Analytical solution of two-dimensional sine-Gordon equation
• The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
• On the variational structure of breather solutions. I: Sine-Gordon equation
• Integration of the soliton hierarchy with self-consistent sources
• Method for Solving the Korteweg-deVries Equation
• 3 soliton solution to Sine-Gordon equation on a space scale
• ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS
• Integrating the loaded KdV equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions
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