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Volumn 184, Issue 3, 1997, Pages 653-667

Some classes of solutions to the Toda lattice hierarchy

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EID: 0031519864     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050078     Document Type: Article
Times cited : (14)

References (12)
  • 2
    • 0000993757 scopus 로고
    • Differential equations for sine-Gordon correlation functions at the free fermion point
    • FS
    • Bernard, D., LeClair, A.: Differential equations for sine-Gordon correlation functions at the free fermion point. Nucl. Phys. B426 [FS], 534-558 (1994)
    • (1994) Nucl. Phys. , vol.B426 , pp. 534-558
    • Bernard, D.1    LeClair, A.2
  • 3
    • 0003301335 scopus 로고
    • Introduction to the theory of linear nonselfadjoint operators
    • Providence, RI: Am. Math. Soc.
    • Gohberg, I. C., Krein, M. G.: Introduction to the theory of linear nonselfadjoint operators. Amer. Math. Soc. Transl. Math. Monog. 18, Providence, RI: Am. Math. Soc., 1969
    • (1969) Amer. Math. Soc. Transl. Math. Monog. , vol.18
    • Gohberg, I.C.1    Krein, M.G.2
  • 5
    • 0039851368 scopus 로고
    • Linear integral transformations and hierarchies of integrable nonlinear evolution equations
    • Nijhoff, F. W.: Linear integral transformations and hierarchies of integrable nonlinear evolution equations. Physica 31D, 339-388 (1988)
    • (1988) Physica , vol.31 D , pp. 339-388
    • Nijhoff, F.W.1
  • 6
    • 0039172282 scopus 로고
    • Construction of solutions of the sine-Gordon equation by means of Fredholm determinants
    • Pöppe, Ch.: Construction of solutions of the sine-Gordon equation by means of Fredholm determinants. Physica 9D, 103-139 (1983)
    • (1983) Physica , vol.9 D , pp. 103-139
    • Pöppe, Ch.1
  • 7
    • 24444437635 scopus 로고
    • Fredholm determinant methods for continuous and discrete soliton equations
    • M. Ablowitz, B. Fuchssteiner, M. Kruskal (eds.) Singapore: World Scientific Publ.
    • Pöppe, Ch.: Fredholm determinant methods for continuous and discrete soliton equations. In: M. Ablowitz, B. Fuchssteiner, M. Kruskal (eds.) Topics in soliton theory and exactly solvable nonlinear equations. Singapore: World Scientific Publ., 1987, pp. 277-283
    • (1987) Topics in Soliton Theory and Exactly Solvable Nonlinear Equations , pp. 277-283
    • Pöppe, Ch.1
  • 8
    • 85007943240 scopus 로고
    • Fredholm determinants and the τ function for the Kadomtsev-Petviashvili hierarchy
    • Pöppe, Ch., Sattinger, D. H.: Fredholm determinants and the τ function for the Kadomtsev-Petviashvili hierarchy. Publ. Research Inst. Kyoto Univ. 24, 505-538 (1988)
    • (1988) Publ. Research Inst. Kyoto Univ. , vol.24 , pp. 505-538
    • Pöppe, Ch.1    Sattinger, D.H.2
  • 10
    • 0030556189 scopus 로고    scopus 로고
    • Fredholm determinants and the mKdV/sinh-Gordon hierarchies
    • Tracy, C. A., Widom, H.: Fredholm determinants and the mKdV/sinh-Gordon hierarchies. Commun. Math. Phys. 179, 1-10 (1996)
    • (1996) Commun. Math. Phys. , vol.179 , pp. 1-10
    • Tracy, C.A.1    Widom, H.2
  • 11
    • 0002596374 scopus 로고
    • Toda lattice hierarchy
    • Group representations and systems of differential equations. K. Okamoto (ed.) Tokyo: Kinokuniya and North-Holland
    • Ueno, K., Takasaki, K.: Toda lattice hierarchy. In: Group representations and systems of differential equations. K. Okamoto (ed.) Adv. Stud. Pure Math. 4, Tokyo: Kinokuniya and North-Holland, 1984, pp. 1-95
    • (1984) Adv. Stud. Pure Math. , vol.4 , pp. 1-95
    • Ueno, K.1    Takasaki, K.2
  • 12
    • 0009372301 scopus 로고
    • A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem
    • Zakharov, V. E., Shabat, A. B.: A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. Funct. Anal. Applic. 8, 226-235 (1974)
    • (1974) Funct. Anal. Applic. , vol.8 , pp. 226-235
    • Zakharov, V.E.1    Shabat, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.