Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie

Integration of Hamiltonian systems of hydrodynamic type with two dependent variables with the aid of the Lie—Bäcklund group

Published:1986-07 Issue:3 Volume:20 Page:227-235
ISSN:0016-2663
Container-title:Functional Analysis and Its Applications
language:en
Short-container-title:Funct Anal Its Appl

Author:

Sheftel’ M. B.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01078475.pdf

Reference8 articles.

1. S. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons. The Inverse Scattering Method, Consultants Bureau, New York (1984).

2. Yu. I. Manin, "Algebraic aspects of nonlinear differential equations," Itogi Nauki i Tekhniki, Sovrem. Probl. Mat.,11, 5–152 (1978).

3. N. Kh. Ibragimov (N. H. Ibragimov), Transformation Groups Applied to Mathematical Physics, D. Reidel, Dordrecht (1985).

4. N. Kh. Ibragimov and A. B. Shabat, "Evolution equations with a nontrivial Lie—Bäcklund group," Funkts. Anal. Prilozhen.,14, No. 1, 25–36 (1980).

5. B. A. Dubrovin and S. P. Novikov, "Hamiltonian formalism of one-dimensional systems of the hydrodynamic type and the Bogolyubov—Whitham averaging method," Dokl. Akad. Nauk SSSR,270, No. 4, 781–785 (1983).

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