A simple approach to Hamiltonian structures of soliton equations.

A simple approach to Hamiltonian structures of soliton equations.—I

Published:1983-01 Issue:1 Volume:73 Page:15-26
ISSN:1826-9877
Container-title:Il Nuovo Cimento B Series 11
language:en
Short-container-title:Nuovo Cim B

Author:

Gui-zhang Tu

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Link

http://link.springer.com/content/pdf/10.1007/BF02721504.pdf

Reference10 articles.

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2. See,e.g., a) (survey papers)A. C. Scott, F. Y. F. Chu andD. W. McLaughlin:Proc. IEEEE,61, 1443 (1973);R. K. Bullough:Phys. Bull.,29, 78 (1978);b)I. M. Gel’fand andL. A. Dikii:Functional Anal. Appl.,10, 13 (1976);c)A. Galindo andL. Martinez Alonso:Lett. Math. Phys.,2, 385 (1978);d)S. Kumei:J. Math. Phys.,19, 195 (1978);e)P. D. Lax:Comm. Pure Appl. Math.,28, 141 (1975); inNonlinear Evolution Equations, edited byM. G. Crandall (New York, N. Y., 1978), p. 207;f)F. Magri:J. Math. Phys.,19, 1156 (1978); inNonlinear Evolution Equations and Dynamical Systems, edited byM. Boiti, F. Pempinelli andG. Soliani (Berlin, 1980);g)M. Adler:Invertitiones Math.,50, 219 (1979);h)S. I. Al’ber:J. London Math. Soc.,19, 467 (1979);i)H. H. Chen, Y. C. Lee andC. S. Liu:Phys. Scr.,20, 490 (1979);j)R. K. Dodd andR. K. Bullough:Phys. Scr.,20, 514 (1979);k)I. M. Gel’fand andI. Ya. Dorfman:Funct. Anal. Appl.,13, 13 (1979);l)A. C. Newell:Proc. R. Soc. London Ser. A,365, 283 (1979);m)L. Martinez Alonso:Lett. Math. Phys.,4, 215 (1980);n)A. S. Fokas andB. Fuchssteiner:Lett. Nuovo Cimento,28, 299 (1980);o)F. Guil andL. Martinez Alonso:J. Phys. A.,13, 689 (1980);p)P. J. Olver:Math. Proc. Camb. Phil. Soc.,88, 71 (1980);q)W. F. Shadwick:Lett. Math. Phys.,4, 241 (1980);r)G. Wilson:Math. Proc. Camb. Phil. Soc.,87, 295 (1980);s)L. Abellanas andA. Galindo:Lett. Math. Phys.,5, 287 (1981);t)V. S. Gerdzhikov, M. I. Ivanov andP. P. Kulish:Teor. Mat. Fiz.,44, 342 (1980);u)B. G. Konopelchenko:J. Phys. A: Math. Gen.,14, 1237 (1981);v)B. A. Kupershmidt andG. Wilson:Invent. Math.,62, 403 (1981);w)D. Levi andO. Ragnisco:On the Haiiltonian Structure of Todda Lattice, preprint;x)Tu Gui-zhang:J. Phys. A: Math. Gen.,15, 277 (1982);y)M. Wadati:Stud. Appl. Math. 59, 153 (1978).

3. Tu Gui-Zhang andQin Men-zhao:Kexue Tongbao,24, 913 (1979);Tu Gui-zhang: inSymposium On Differential Geometry and Partial Differential Equations, Beijing, 1980, Sci. Pr. (Beijing, 1981), p. 1465.

4. See,e. g.,M. Wadati,H. Sanuki andK. Konno:Prog. Theor. Phys.,53, 419 (1975);b)R. Sasaki:Geometric Approach to Soliton Equations, preprint, NBI-HE-79-31.

5. M. D. Kruskal, R. M. Miura, C. S. Gardner andN. J. Zabusky:J. Math. Pyhs. (N. Y.),11, 952 (1970);b)P. J. Olver:J. Math. Phys. (N. Y.),18, 1212 (1977).

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