This article is cited in 1 scientific paper (total in 1 paper)
The System of Kaup Equations with a Self-Consistent Source in the Class of Periodic Functions
A. Cabadaa, A. Yakhshimuratovb
a Department of Mathematical Analysis University of Santiago de Compostela, Santiago de Compostela, Spain
b Department of Applied Mathematics and Mathematical Physics,
Urgench State University, Urgench, Uzbekistan
In the paper, a method of the inverse spectral problem is used to integrate the system of Kaup equations with a self-consistent source in the class of periodic functions.
Key words and phrases:
quadratic pencil of Sturm–Liouville equations, spectral data, inverse problem, system of Dubrovin equations, system of Kaup equations with a self-consistent source.
PDF file (203 kB)
MSC: 39A70, 37K15, 37K60, 35Q53
A. Cabada, A. Yakhshimuratov, “The System of Kaup Equations with a Self-Consistent Source in the Class of Periodic Functions”, Zh. Mat. Fiz. Anal. Geom., 9:3 (2013), 287–303
Citation in format AMSBIB
\by A.~Cabada, A.~Yakhshimuratov
\paper The System of Kaup Equations with a Self-Consistent Source in the Class of Periodic Functions
\jour Zh. Mat. Fiz. Anal. Geom.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
A. B. Yakhshimuratov, “Integration of a higher-order nonlinear Schrödinger system with a self-consistent source in the class of periodic functions”, Theoret. and Math. Phys., 202:2 (2020), 137–149
|Number of views:|