Titlebook: Dynamical Problems in Soliton Systems; Proceedings of the S Shozo Takeno Conference proceedings 1985 Springer-Verlag Berlin Heidelberg 1985

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Josef Krautkr?mer,Herbert Krautkr?merThe Baxter model is generalized to the higher dimensional representations of SU(2) group. The factorized S-matrix, q-state vertex model and XXZ Heisenberg model of spin S are treated from the unified point of view. Some features of SU(2) Thirring model are also discussed.

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Josef Krautkr?mer,Herbert Krautkr?merWe are going to describe our work on the quantum and classical statistical mechanics of some exactly integrable non-linear one dimensional systems. The simplest is the non-linear Schr?dinger equation (NLS).where c, the coupling constant, is positive. The others are the sine- and sinh-Gordon equations (sG and shG)

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IntroductionIt is now a well-known story that John Scott-Russell on his horse found and chased a solitary wave propagating in the canal near Edinburgh, Scotland. It was some evening in August, 1834. In a sense, the 7th Kyoto Summer Institute on “Dynamical Problems in Soliton Systems” is the 150-year anniversary of the first observation of a soliton.

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Hamiltonian Structures of Soliton Equations via Constrained Variational CalculusWe prove the following trace identity. where K satisfies the equation K.=[U,K] and U=U(u.,n). We show that a number of known formulae, obtained previously by complicated calculation, are the special cases of this remarkable identity.

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Fundamental Properties of the Binary Operators in Soliton Theory and Their GeneralizationWe have introduced a binary operator to transform a class of nonlinear evolution equations into the bilinear form . The binary operator D. operating on a pair of arbitrary functions f and g is defined by ..

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Recent Progress in Quantum Inverse Scattering Method — Baxter Hierarchy and Its ApplicationsThe Baxter model is generalized to the higher dimensional representations of SU(2) group. The factorized S-matrix, q-state vertex model and XXZ Heisenberg model of spin S are treated from the unified point of view. Some features of SU(2) Thirring model are also discussed.

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