壮观的游行 发表于 2025-3-26 21:02:46
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Semiclassical Behavior in the NLS Equation: Optical Shocks - Focusing Instabilities, defocusing case, and verify it with numerical experiments. We also point out an application of that theory to the physical problem of optical shocking in fibers. Following that we consider the focusing case. We argue that the the failure of the existing theory is a result of the modulational instab扩张 发表于 2025-3-27 07:26:33
A Numerical Study of Nearly Integrable Modulation Equations,nal attractors and bifurcation phenomena. These attractors are fully nonlinear (i.e., order one amplitude) space-time structures which have been independently measured (using the spectral transform) in terms of integrable, sine-Gordon modes. Based on these direct measurements, we posit a leading ordApoptosis 发表于 2025-3-27 09:30:52
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On the Integrability of the Averaged KdV and Benney Equations,al hamiltonian systems possessing a complete set of Riemann invariants arising in the theory of multiphase averaging of completely integrable equations (see , , , , ), for example the Whitham equations (the averaged 1-phase KdV equation):.(here ..=(..-..)/(..-..)); .(.), .(.) are tmotor-unit 发表于 2025-3-28 04:43:38
Explicit Construction of The Lax-Levermore Minimizer for the KdV Zero Dispersion Limit,veraged system of modulation equations through an implicit construction proposed by Tsarev For a certain class of ramp-like initial data, Tian has constructed the global solution of the Whitham equations which matches at the phase transition boundaries to the characteristic solution of the ileft-ventricle 发表于 2025-3-28 06:57:46
Long-Time Asymptotics for the Autocorrelation Function of the Transverse Ising Chain at the Criticaensional lattice. As is well known, the Hamiltonain . can clearly be identified with the transverse Ising model at the critical transverse magnetic field (). We will study the long-time behavior of the autocorrelation function .(.) of the first spin component.where . = 1/. is the inverse temperBLOT 发表于 2025-3-28 14:03:28
Resonances in Multifrequency Averaging Theory,ispersion. The principal term of such asymptotic solutions can be represented in the form.,where ., ., . and ., . are smooth functions and . is 2.-periodic in the argument .. The function (1.1) describes the distribution of wave packets. Such solutions were used in different physical and mechanical