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

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https://doi.org/10.1007/978-3-662-02449-2mechanics; nonlinear systems; paper; physics; soliton; theoretical physics

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Acetaminophen

Some Aspects of Soliton Dynamics 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

厌食症

Approximations for the Inverse Scattering Transforminverse 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.

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使闭塞

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有常识

The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanics equations which arose originally as a description of long waves on a shallow perfect fluid, while the initial value problem is equivalent to the open problem of finding the potential U(X,Y,T) in the Hamiltonian H., given the asymptotics of its orbits.

impale

Hirota’s Method and the Painlevé Propertyf phase space, a complete integration can be effected by the identification of as many involutive integrals as there are degrees of freedom (N). For integrable Hamiltonian systems the flow is confined to N-dimensional tori embedded in the 2N-dimensional phase space.

instulate

Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanicsfind that the eigenstates of the quantum three wave interaction model can be derived by the Bethe Ansatz method [5]. We treat the thermodynamics in the case without the bound states in the eigenstates, as some difficulties occur with the existence of the bound states.