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

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書(shū)目名稱(chēng)Dynamical Problems in Soliton Systems影響因子(影響力)




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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.

Reclaim

The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanicsondition between two classical Hamiltonian flows, one evolving in Y with Hamiltonian H.= P./2 + U(X,Y,T), and the other evolving in T, with Hamiltonian H.= P./3 + P U(X,Y,T) + V(X,Y,T). Some solutions of the system may consequently be derived from solutions of the Benney hierarchy, a class of moment

semble

CIS

Mnemonics

A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity A 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

Mnemonics

音的強(qiáng)弱

燒烤

Solitons in the Quantum Toda LatticeANG 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

Etching

Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanicsfor 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