Integration of the loaded sine-Gordon equation by the inverse scattering problem method

MaRDI QIDQ6496219

Gayrat Urazboev, Iroda Baltaeva, Unnamed Author

Publication date: 3 May 2024

Published in: Azerbaijan Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorinverse scattering methodevolution of scattering dataCauchy-Goursat problemloaded sine-Gordon equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse problems involving ordinary differential equations (34A55) Other special methods applied to PDEs (35A25) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation
• On the sine-Gordon equation with a self-consistent source
• Analog of the Gellerstedt problem for a loaded equation of the third order
• Integrals of nonlinear equations of evolution and solitary waves
• A generalized $(G'/G)$-expansion method for the loaded Korteweg—de Vries equation
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