Quantizing the KdV equation

Theoretical and Mathematical Physics

Volumn 129, Issue 2, 2001, Pages 1586-1595

  Pogrebkov, A K ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

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Indexed keywords

EID: 0035528153     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012895426139     Document Type: Article

References (24)

1. 1. C. S. Gardner, J. M. Green, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett., 19, 1095 (1967).
2. 2. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, Theory of Solitons: The Inverse Scattering Method [in Russian], Nauka, Moscow (1980);
3. English transl.: S. P. Novikov, S. V. Manakov, L. P. Pitaevsky, and V. E. Zakharov, Plenum, New York (1984).
4. 3. F. Calogero and A. Degasperis, Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations, Vol. 1, North-Holland, Amsterdam (1982).
5. 4. C. Gardner, J. Math. Phys., 12, 1548 (1971); V. E. Zakharov and L. D. Faddeev, Funct. Anal. Appl., 5, 280 (1971).
6. 4. C. Gardner, J. Math. Phys., 12, 1548 (1971); V. E. Zakharov and L. D. Faddeev, Funct. Anal. Appl., 5, 280 (1971).
7. 5. F. Magri, "A geometrical approach to the nonlinear solvable equations," in: Nonlinear Evolution Equations and Dynamical Systems (Lect. Notes Phys, Vol. 120, M. Boiti, F. Pempinelli, and G. Soliani, eds.), Springer, Berlin (1980), p. 233.
8. 6. P. B. Wiegmann and A. Zabrodin, Commun. Math. Phys., 213, 523 (2000).
9. 7. V. V. Bazhanov, S. L. Lukyanov, and A. B. Zamolodchikov, Commun. Math. Phys., 177, 381 (1996).
10. 8. P. Di Francesco, P. Mathieu, and D. Sénéchal, Mod. Phys. Lett. A, 7, 701 (1992).
11. 9. J. Barcelos-Neto, A. Constandache, and A. Das, Phys. Lett. A, 268, 342 (2000).
12. 10. I. Krichever, Commun. Math. Phys., 143, 415 (1992); Commun. Pure Appl. Math., 47, 437 (1992).
13. 10. I. Krichever, Commun. Math. Phys., 143, 415 (1992); Commun. Pure Appl. Math., 47, 437 (1992).
14. 11. A. Wightman, Introduction to Some Aspects of the Relativistic Dynamics of Quantized Fields, Princeton Univ. Press, Princeton, N. J. (1964).
15. 12. S. Coleman, Phys. Rev. D, 11, 2088 (1975).
16. 13. S. Mandelstam, Phys. Rev. D, 11, 3026 (1975).
17. 14. A. K. Pogrebkov and V. N. Sushko, Theor. Math. Phys., 24, 935 (1975); 26, 286 (1976).
18. 14. A. K. Pogrebkov and V. N. Sushko, Theor. Math. Phys., 24, 935 (1975); 26, 286 (1976).
19. 15. F. Colomo, A. G. Izergin, V. E. Korepin, and V. Tognetti, Theor. Math. Phys., 94, 11 (1993).
20. 16. N. M. Bogoliubov, A. G. Izergin, and V. E. Korepin, Correlation Functions of Integrable Systems and the Quantum Inverse Scattering Method [in Russian], Nauka, Moscow (1992); English transl.: V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge (1989).
21. 16. N. M. Bogoliubov, A. G. Izergin, and V. E. Korepin, Correlation Functions of Integrable Systems and the Quantum Inverse Scattering Method [in Russian], Nauka, Moscow (1992); English transl.: V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge (1989).
22. 17. N. A. Slavnov, Theor. Math. Phys., 108, 993 (1996).
23. 18. N. Ilieva and W. Thirring, Eur. Phys. J. C, 6, 705 (1999); N. Ilieva and W. Thirring, Theor. Math. Phys., 121, 1294 (1999).
24. 18. N. Ilieva and W. Thirring, Eur. Phys. J. C, 6, 705 (1999); N. Ilieva and W. Thirring, Theor. Math. Phys., 121, 1294 (1999).