This is a preview of subscription content, log in via an institution to check access.
Literature cited
L. S. Frolov, “The inverse problem for the Dirac system on all axes,” Dokl. Akad. Nauk SSSR,207, No. 1, 44–47 (1972).
C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, “Method for solving the Korteweg-de Vries equation,” Phys. Rev. Lett.,19, 1095–1097 (1967).
R. M. Miura, C. S. Gardner, and M. D. Kruskal, “Korteweg-de Vries equation and generalizations, II. Existence of conservation laws and constants of motion,” J. Math. Phys.,9, No. 8, 1204–1209 (1968).
M. D. Kruskal, R. M. Miura, C. S. Gardner, and N. J. Zabusky, “Korteweg-de Vries equation and generalizations, V. Uniqueness and nonexistence of polynomial conservation laws,” J. Math. Phys.,11, No. 3, 952–960 (1970).
V. E. Zakharov and L. D. Faddeev, “Korteweg-de Vries equation, a completely integrable Hamiltonian system,” Funkts. Anal. Prilozhen.,5, No. 4, 18–27 (1971).
P. D. Lax, “Integrals of nonlinear equations of evolution and solitary waves,” Comm. Pure Appl. Math.,21, 467–490 (1968).
V. E. Zakharov and A. B. Shabat, “Point theory of two-dimensional self-focusing and one-dimensional automodular wave in a nonlinear medium,” Zh. Eksp. Teor Fiz.,61, 118–125 (1971).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 37, pp. 66–76, 1973.
Rights and permissions
About this article
Cite this article
Takhtadzhyan, L.A. Hamiltonian systems connected with the Dirac equation. J Math Sci 8, 219–228 (1977). https://doi.org/10.1007/BF01084958
Issue Date:
DOI: https://doi.org/10.1007/BF01084958