Titlebook: Nonlinear Processes in Physics; Proceedings of the I A. S. Fokas,D. J. Kaup,V. E. Zakharov Conference proceedings 1993 Springer-Verlag Berl

Neonatal

voluble

Complex Deformation of Integrable Hamiltonians over Generalized Jacobi Varieties meromorphic systems over the generalized Jacobians of the Riemann surfaces are considered in both scalar and matrix cases. Non-canonical action-angle variables are used to linearize the corresponding Hamiltonian flows and to establish the commutativity of the obtained finite (or infinite) collectio

宿醉

Spatiotemporal Chaos in the Nonlinear Three Wave Interactionequations, which describes the saturation of a linearly unstable parent wave by nonlinearly coupling to two damped daughter waves [1, 3]. The system exhibits spatiotemporal chaos (STC) in the long time, large system limit. The term STC specifically refers to the chaotic dynamics of coherent structur

包租车船

On the Instability of the Static Soliton-like “Bubbles” . which can be interpreted as rarefaction bubbles in a Bose condensate (see [1]). These localised solutions satisfy the ” boundary conditions”:.where .. is a positive constant, . depends on the velocity . and is equal to zero in the particular case of stationary solutions, i.e when . = 0. Such solu

Encephalitis

Symplectic and Hamiltonian Structures of Nonlinear Evolution Equationse Poisson bracket with the help of a tensor with two upper indices named the Poisson structure. Under the assumption of nondegeneracy, the Poisson structure is nothing else than the inverse of the symplectic structure. Also in the degenerate case the distinction between the two approaches is almost

Torrid

SPECT

Modulation Equations for Nearly Integrable PDEs with Periodic Boundary Conditionsed interesting bifurcation phenomena that have been documented in [1] through extensive direct numerical investigations. These long-lived “attractors” of the damped, driven periodic sine-Gordon equation consist of various flows among coherent spatial structures. The temporal behavior ranges from per

grudging

Spectrum of Domain Wall Excitations in YIGare made from YIG are widely used in experiments since they have extremely low dissipation of spin waves and high Curie temperature. The effective anisotropy of YIG is quite small and therefore the dipole-dipole interaction becomes very important. There is a theory [1] which describes a dynamics of

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Arable

Breaking Solitons. Systems of Hydrodynamic Typenskian relations. A general Lax type operator equation was proposed by V.E. Zakharov [4] for constructing (.+1)-dimensional integrable equations. These constructions were discussed also in the monograph by R.K. Dodd, J.C. Ellbeck, J.D. Gibbon and G.C. Morris [5].