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

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樓主: HEM
11#
發(fā)表于 2025-3-23 12:04:50 | 只看該作者
12#
發(fā)表于 2025-3-23 17:00:09 | 只看該作者
13#
發(fā)表于 2025-3-23 20:52:14 | 只看該作者
14#
發(fā)表于 2025-3-23 22:27:43 | 只看該作者
,Meinungsverschiedenheitenüber Unfallfolgen, motion of certain one-dimensional nonlinear lattices, and found recurrence to initial state at least for small nonlinearity and smooth initial excitation. The idea that for sufficiently smooth waves, a lattice can be approximated by a continuum led ZABUSKY and KRUSKAL [2] to the numerical study of the Korteweg-de Vries equation
15#
發(fā)表于 2025-3-24 03:16:42 | 只看該作者
,Einschr?nkung der Leistungspflicht,inverse scattering transform) [1]. Although the IST is an exact method, its complexity does require that one be able to make use of some approximations. And while I shall be discussing approximations, let me note that I also shall be emphasizing the methods and not the mathematical details.
16#
發(fā)表于 2025-3-24 07:08:43 | 只看該作者
https://doi.org/10.1007/978-3-662-13416-0 by a dependent variable transformation. A perturbational approach is employed to understand the structure of solutions of the equation. First, a series of differential equations approximating the integro-differential equation is derived. Then the effect of higher order corrections on the equilibrium solution is investigated.
17#
發(fā)表于 2025-3-24 14:07:39 | 只看該作者
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 excitation spectrum.
18#
發(fā)表于 2025-3-24 17:33:13 | 只看該作者
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).
19#
發(fā)表于 2025-3-24 20:44:51 | 只看該作者
20#
發(fā)表于 2025-3-25 01:49:05 | 只看該作者
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