Integration of mKdV Equation with a Self-Consistent Source in the Class of Finite Density Functions in the Case of Moving Eigenvalues-Reference-Cited by-同舟云学术

Integration of mKdV Equation with a Self-Consistent Source in the Class of Finite Density Functions in the Case of Moving Eigenvalues

Published:2020-10 Issue:10 Volume:64 Page:66-78
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Mamedov K. A.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S1066369X20100072.pdf

Reference17 articles.

1. Wadati, M. “The Exact Solution of the Modified Korteweg–de Vries Equation”, J. Phys. Soc. Japan 32, 1681–1681 (1972).

2. Gardner, S.S., Green, I.M., Kruskal, M.D., Miura, R.M. “Method for Solving the Korteweg–de Vries Equation”, Phys. Rev. Lett. 19, 1095–1097 (1967).

3. Gasymov, M.G., Levitan, B.M. “The Inverse Problem for the Dirac System”, Dokl. Akad. Nauk SSSR 167 (5), 967–970 (1966) [in Russian].

4. Zakharov, V.E., Shabat, A.B. “Exact Theory of Two-Dimensional Self-Focusing and One-Dimensional Self-Modulation of Wave in Nonlinear Media”, J. Experim. Theor. Phys. 61 (1), 118–134 (1971).

5. Frolov, I.S. “Inverse Scattering Problem for a Dirac System on the Whole Axis”, Dokl. Akad. Nauk SSSR 207 (1) 44–47 (1972) [in Russian].

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