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Titlebook: Hamiltonian Methods in the Theory of Solitons; Ludwig D. Faddeev,Leon A. Takhtajan Book 2007 Springer-Verlag Berlin Heidelberg 2007 Invers

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The Physics of Quantum Informationnd finite density boundary conditions this “change of variables” makes the dynamics quite simple because the time evolution of the transition coefficients for the continuous and discrete spectra becomes linear.
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https://doi.org/10.1007/b138153letely integrable Hamiltonian systems. We shall also present a Hamiltonian interpretation of the change to light-cone coordinates in the SG model. To conclude this chapter, we shall explain that in some sense the LL model is the most universal integrable system with two-dimensional auxiliary space.
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The Physics of Submicron Lithographyto action-angle type variables establishing the complete integrability of the Toda model in the rapidly decreasing case. We shall also define a lattice version of the LL model, the most general integrable lattice system with two-dimensional auxiliary space.
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The Riemann Problemnd finite density boundary conditions this “change of variables” makes the dynamics quite simple because the time evolution of the transition coefficients for the continuous and discrete spectra becomes linear.
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Fundamental Continuous Modelsletely integrable Hamiltonian systems. We shall also present a Hamiltonian interpretation of the change to light-cone coordinates in the SG model. To conclude this chapter, we shall explain that in some sense the LL model is the most universal integrable system with two-dimensional auxiliary space.
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https://doi.org/10.1007/978-3-662-03488-0physics has witnessed the development of a vast new area of research devoted to this theory and called the inverse scattering method of solving nonlinear equations (other names are: the inverse spectral transform, the method of isospectral deformations and, more colloquially, the L-A pair method).
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