Band structure and scattering mechanisms in manganese monosilicide

Ostrovskii, F. I.; Dmitriev, E. A.; Krentsis, R. P.; Gel’d, P. V.

doi:10.1007/bf00816951

Cited by 2 publications

(1 citation statement)

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“…The study of AM generically relies on nonlinear Schrödinger (NLS) type equations [2]; a set of coupled NLS (CNLS) equations naturally occurs when interacting modulated waves are considered. CNLS equations are encountered in physical contexts as diverse as electromagnetic wave propagation [3,4], optical fibers [5,6], plasma waves [7,8,9], transmission lines [10], and left-handed (negative refraction index) metamaterials (LHM) [11]. A similar mathematical model is employed in the mean-field statistical mechanical description of boson gases, to model the dynamics of Bose-Einstein condensates [12,13,14].…”

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confidence: 99%

Modulational instability in asymmetric coupled wave functions

Kourakis

Shukła

2006

Eur. Phys. J. B

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The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schrödinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and the GVD terms) and the nonlinearity and coupling coefficients, on which no assumption is made. A generalized dispersion relation is obtained, relating the frequency and wave-number of a small perturbation around a coupled monochromatic (Stokes') wave solution. Explicitly stability criteria are obtained. The analysis reveals a number of possibilities. Two (individually) stable systems may be destabilized due to coupling. Unstable systems may, when coupled, present an enhanced instability growth rate, for an extended wave number range of values. Distinct unstable wavenumber windows may arise simultaneously.

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