Group-theoretical approach to a class of lax equations including those solvable by the spectral transform-Reference-Cited by-同舟云学术

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Group-theoretical approach to a class of lax equations including those solvable by the spectral transform

Published:1980-10 Issue:3 Volume:59 Page:245-262
ISSN:0369-3546
Container-title:Il Nuovo Cimento A
language:en
Short-container-title:Nuov Cim A

Author:

Degasperis A.,Olshanetsky M. A.,Perelomov A. M.

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Link

http://link.springer.com/content/pdf/10.1007/BF02816662.pdf

Reference12 articles.

1. C. S. Gardner, J. M. Greene, M. D. Kruskal andR. M. Miura:Phys. Rev. Lett.,19, 1095 (1967).

2. a)M. J. Ablowitz, D. J. Kaup, A. C., Newell andH. Segur:Stud. Appl. Math.,53, 249 (1974);b)F. Calogero andA. Degasperis:Nuovo Cimento B,32, 201 (1976);c 39, 1 (1977);d)M. J. Ablowitz:Stud. Appl. Math.,58, 17 (1978);e)A Degasperis:Spectral transform and solvability of nonlinear evolution equations, inNonlinear Problems in Theoretical Physics, edited byA. F. Rañada,Lecture Notes in Physics, Vol.98 (Berlin, 1979), p. 35;f)F. Calogero:Spectral transform and solitons: tools to solve and investigate nonlinear evolution equations, inNotes of Lectures Given at the Institute for Theoretical Physics in Groningen, April–June 1976.

3. a)C. S. Gardner:J. Math. Phys. (N. Y.),12, 1548 (1971);b)P. D. Lax:Commun. Pure Appl. Math.,28, 141 (1975);c)V. E. Zakharov andL. D. Faddeev:Funct. Anal. Appl.,5, 280 (1971);d)J. M. Gelfand andL. A. Dikii:Funct. Anal. Appl.,10, 13 (1976);11, 11 (1976) (in Russian);e)D. R. Lebedev andYu. I. Manin:Gelfand-Dikii Hamiltonian operator and coadjoint representation of Volterra group, Institute of Theoretical and Experimental Physics, ITEP 155 Moscow (1978);f)M. Adler:Inventiones Math.,50, 219 (1979).

4. P. D. Lax:Commun. Pure Appl. Math.,21, 467 (1968).

5. V. E. Zakharov andA. B. Shabat:Sov. Phys. JETP,34, 62 (1972).

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