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

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Brochure

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https://doi.org/10.1007/978-3-662-13416-0 exact reduction of a completely integrable nonlinear partial differential equation (PDE) is of Painlevé type. Here an ODE is said to be of Painlevé type if its general solution has no movable singularities other than poles. Moreover they presented an explicit algorithm to test whether a given ODE s

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https://doi.org/10.1007/978-3-662-13416-0 problem of a nonlinear evolution equation is solved. We now have its extension to the quantum theory which we call the quantum inverse scattering method. It provides not only a powerful method for studying completely integrable quantum systems, but also a unified viewpoint on the structure of solva

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https://doi.org/10.1007/978-3-662-13416-0ras are the basic concepts of integrability. In statistical models and field theories the commutativity of transfer matrices t(λ) at different values of the spectral parameter follows directly from the Yang-Baxter algebra. The expansion in powers of λ of log t(λ) (or t(λ)) provides an infinite numbe

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Josef Krautkr?mer,Herbert Krautkr?merANG and YANG [2] on the Bose gas with repulsive delta-function interactions. SUTHERLAND [3] generalized the method to other integrable systems, where Bethe’s ansatz does not give the exact but only the asymptotic wave functions; however, this is sufficient to obtain the ground state energy and the e

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Ebene Schallwellen an Grenzfl?chenfor many other models such as the quantum nonlinear Schr?dinger model (delta-function interaction model) [2], the massive Thirring model [3], etc.. C.N.Yang and C.P.Yang exploit this method, and succeed in getting the equilibrium of the thermodynamics of the system with a finite temperature [4]. We

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Josef Krautkr?mer,Herbert Krautkr?mery of the soliton paradigm [1] in a statistical-mechanical context and establish a link between three seemingly disparate lines of nonlinear development: Inverse scattering theory (IST), transfer integral (TI) method and the Bethe Ansatz (RA).