Hierarchy of symplectic forms for the Schr�dinger and the Dirac equations on a line

Author:

Kulish P. P.,Reiman A. G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Reference13 articles.

1. V. E. Zakharov and L. D. Faddeev, ?The Korteweg-de Vries equation is a fully integrable Hamiltonian system,? Funkts. Anal. Prilozhen.,5, No. 4, 18?27 (1971).

2. L. A. Takhtadzhyan, ?Hamiltonian systems connected with the Dirac equation,? J. Sov. Math.,8, No. 2, 219?228 (1977).

3. V. E. Zakharov and S.V. Manakov, ?On the complete integrability of a nonlinear Schrödinger equation,? Teor. Mat. Fiz., 19, No. 3, 332?343 (1974).

4. L. A. Takhtadzhyan and L. D. Faddeev, ?The Hamiltonian system connected with the equation u? ?+sin u=0,n,? Tr. Mat. Inst. Steklov.,142, 254?266 (1976).

5. L. D. Faddeev, ?A Hamiltonian interpretation of the inverse scattering method,? in: Solitons, R. K. Bullough and P. J. Caudrey (eds.), Springer-Verlag, Berlin-Heidelberg-New York (1980), pp. 339?372.

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