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Volumn 529, Issue 3, 1998, Pages 689-736

A new approach to integrable theories in any dimension

Author keywords

General dimensions; Integrability; New solutions; Zero curvature

Indexed keywords


EID: 0032487309     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00400-3     Document Type: Article
Times cited : (111)

References (43)
  • 2
    • 0002261929 scopus 로고
    • [1] V.E. Zakharov and A.B. Shabat, Zh. Exp. Teor. Fiz. 61 (1971) 118 [Sov. Phys. JETP 34 (1972) 62.
    • (1972) Sov. Phys. JETP , vol.34 , pp. 62
  • 4
    • 0002439929 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1979) Functional Analysis and Its Application , vol.13 , pp. 166
    • Zakharov, V.E.1    Shabat, A.B.2
  • 5
    • 0002439929 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1981) Proc. Japan. Acad , vol.57 A , pp. 3806
    • Date, E.1    Jimbo, M.2    Kashiwara, M.3    Miwa, T.4
  • 6
    • 0002439929 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1982) Physica D , vol.4 , pp. 343
  • 7
    • 84996377707 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1982) Publ. RIMS Kyoto University , vol.18 , pp. 1077
  • 8
    • 33645684162 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1983) Functional Analysis and Its Application , vol.17 , pp. 259
    • Semenov-Tian-Shansky, M.1
  • 9
    • 84966236235 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1985) Publ. RIMS Kyoto Univ. , vol.21 , pp. 1237
  • 10
    • 0002639567 scopus 로고
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1991) Phys. Lett. B , vol.260 , pp. 81
    • Babelon, O.1    Bernard, D.2
  • 11
    • 0039615407 scopus 로고
    • hep-th/9111036
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1992) Commun. Math. Phys. , vol.149 , pp. 279-306
  • 12
    • 0002439929 scopus 로고
    • hep-th/9206002
    • [3] V.E. Zakharov and A.B. Shabat, Functional Analysis and Its Application 13 (1979) 166; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Proc. Japan. Acad 57A (1981) 3806; Physica D 4 (1982) 343; Publ. RIMS Kyoto University 18 (1982) 1077; M. Semenov-Tian-Shansky, Functional Analysis and Its Application 17 (1983) 259; Publ. RIMS Kyoto Univ. 21 (1985) 1237; O. Babelon and D. Bernard, Phys. Lett. B 260 (1991) 81; Commun. Math. Phys. 149 (1992) 279-306, hep-th/9111036; Int. J. Mod. Phys. A 8 (1993) 507-543, hep-th/9206002.
    • (1993) Int. J. Mod. Phys. A , vol.8 , pp. 507-543
  • 13
    • 0003774747 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • [4] V.G. Kac, Infinite Dimensional Lie Algebras, third edition (Cambridge Univ. Press, Cambridge, 1990); V.G. Kac and M. Wakimoto, Exceptional hierarchies of soliton equations, in Proceedings of Symposia in Pure Mathematics, Vol. 49 (1989) 191.
    • (1990) Infinite Dimensional Lie Algebras, Third Edition
    • Kac, V.G.1
  • 14
    • 0001082536 scopus 로고
    • Exceptional hierarchies of soliton equations
    • [4] V.G. Kac, Infinite Dimensional Lie Algebras, third edition (Cambridge Univ. Press, Cambridge, 1990); V.G. Kac and M. Wakimoto, Exceptional hierarchies of soliton equations, in Proceedings of Symposia in Pure Mathematics, Vol. 49 (1989) 191.
    • (1989) Proceedings of Symposia in Pure Mathematics , vol.49 , pp. 191
    • Kac, V.G.1    Wakimoto, M.2
  • 15
    • 85008279103 scopus 로고
    • [5] M. Jimbo and T. Miwa, Publ. RIMS, Kyoto Univ. 19 (1983) 943; E. Date, M. Jimbo, M. Kashiwara and T. Miwa, Publ. RIMS, Kyoto Univ. 18 (1982) 1077.
    • (1983) Publ. RIMS, Kyoto Univ. , vol.19 , pp. 943
    • Jimbo, M.1    Miwa, T.2
  • 20
    • 0041554226 scopus 로고
    • [9] A.B. Zamolodchikov, Theor. Math. Phys. 65 (1986) 1205; V.A. Fateev and A.B. Zamolodchikov, Nucl. Phys. B 280 (1987) 644.
    • (1986) Theor. Math. Phys. , vol.65 , pp. 1205
    • Zamolodchikov, A.B.1
  • 24
    • 0000753537 scopus 로고
    • [11] Ya. Aref'eva, Theor. Mat. Phys. 43 (1980) 353; N.E. Bralic, Phys. Rev. D 22 (1980) 3090.
    • (1980) Theor. Mat. Phys. , vol.43 , pp. 353
    • Aref'eva, Ya.1
  • 25
    • 0001302185 scopus 로고
    • [11] Ya. Aref'eva, Theor. Mat. Phys. 43 (1980) 353; N.E. Bralic, Phys. Rev. D 22 (1980) 3090.
    • (1980) Phys. Rev. D , vol.22 , pp. 3090
    • Bralic, N.E.1
  • 27
    • 0010954859 scopus 로고
    • [12] D.I. Olive and N. Turok, Nucl. Phys. B 220 (1983) 491, Nucl. Phys. B 257 (1985) 277
    • (1985) Nucl. Phys. B , vol.257 , pp. 277
  • 30
    • 0004293970 scopus 로고
    • Interscience/Wiley, New York
    • [15] N. Jacobson, Lie Algebras (Interscience/Wiley, New York, 1962).
    • (1962) Lie Algebras
    • Jacobson, N.1
  • 36
    • 0001649542 scopus 로고
    • [21] A.N. Leznov and M.A. Mukhtarov, J. Math. Phys. 28 (1987) 2574-2578; A.N. Leznov, Theor. Mat. Phys. 73 (1987) 1233-1237.
    • (1987) J. Math. Phys. , vol.28 , pp. 2574-2578
    • Leznov, A.N.1    Mukhtarov, M.A.2
  • 37
    • 34250085720 scopus 로고
    • [21] A.N. Leznov and M.A. Mukhtarov, J. Math. Phys. 28 (1987) 2574-2578; A.N. Leznov, Theor. Mat. Phys. 73 (1987) 1233-1237.
    • (1987) Theor. Mat. Phys. , vol.73 , pp. 1233-1237
    • Leznov, A.N.1


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