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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假装是我 发表于 2025-3-27 19:46:23
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词汇 发表于 2025-3-28 00:12:36
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违反 发表于 2025-3-28 04:08:00
Josef Krautkrämer,Herbert KrautkrämerANG and YANG on the Bose gas with repulsive delta-function interactions. SUTHERLAND 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 ejet-lag 发表于 2025-3-28 06:38:48
Ebene Schallwellen an Grenzflächenfor many other models such as the quantum nonlinear Schrödinger model (delta-function interaction model) , the massive Thirring model , 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 . Wescotoma 发表于 2025-3-28 12:49:02
Josef Krautkrämer,Herbert Krautkrämery of the soliton paradigm 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).