Integration of the modified Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

Author:

Yakhshimuratov A. B.,Khasanov M. M.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference12 articles.

1. Wadati, M., The Exact Solution of the Modified Korteweg-de Vries Equation, J. Phys. Soc. Japan, 1972, vol. 32, p. 1681.

2. Its, A.R., Exact Integration of the Nonlinear Schrödinger Equation and the Modified Korteweg-de Vries Equation in Riemann θ-Functions, Cand. Sci. (Phys.-Math.) Dissertation, Leningrad, 1977.

3. Smirnov, A.O., Elliptic Solutions of the Nonlinear Schrödinger Equation and the Modified Korteweg-de Vries Equation, Mat. Sb., 1994, vol. 185, no. 8, pp. 103–114.

4. Mel’nikov, V.K., Exact Solutions of the Kortewed-de Vries Equation with a Self-Consistent Source, Phys. Lett. A, 1988, vol. 128, pp. 488–492.

5. Khasanov, A.B. and Urazboev, G.U., A Method for Solving the Modified Korteweg-de Vries Equation with a Self-Consistent Source, Uzbek. Mat. Zh., 2003, no. 1, pp. 69–75.

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