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Titlebook: Nonlinear Waves in Waveguides; with Stratification Sergei B. Leble Book 1991 Springer-Verlag Berlin Heidelberg 1991 Nichtlineare Dynamik.Ni

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Book 1991 nonlinear evolution equations (NEEs) are derived giving also their solutions for specific situations. The reader will find new elements to the traditional approach. Various dispersion and relaxation laws for different guides are considered as well as the explicit form of projection operators, NEEs,
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Interaction of Modes in an Electromagnetic Field Waveguide,e. The nonlocal dispersion operator may appear due to boundary matching of solutions for dielectric waveguides (dielectric slabs, rods and fibers). The derivation of this operator is given in Sect. 3.4, where the generalization of the projection procedure for the case of noncommuting matrix elements of the basic linear evolution operator is given.
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Nonlinear Waves in Stratified Plasma,he straight algebraic treatment allows one to find explicit (soliton-like) solutions (Sect. 4.4) for the one-dimensional case of the Langmuir turbulence equations taking into account the radiation and absorption of ion-acoustic waves.
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The Discrimination and Interaction of Hydrodynamical Waves of Different Types, elementary modes is given in Sect. 2.3. The theory of the coupled KdV systems as a basic tool for long waves in waveguides is developed in Sects. 2.5–6. The special case of closed waveguide propagation of Rossby waves is analyzed in Sect. 2.7.
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