Stability of self-resonance mechanisms in nonlinear interaction between two primary harmonic waves

• Autorzy: El-Dib Y. O.
• Języki publikacji: EN

Abstrakty

EN

In the present work the stability criterion for two coupled nonlinear Schrödinger equations having parametric terms is derived. In this investigation, two different types of coupled nonlinear Schrödinger equations are discussed. Two coupled parametric nonlinear Schrödinger equations govern the wave behavior at the self-secondary resonance interaction and other two coupled parametric equations describe the wave-wave interaction at self-cubic resonance case. Stability criterion governing resonance mechanisms is performed in view of temporal periodic perturbations. Moreover, stability criterion at the perfect resonance case is achieved. Further, some numerical calculations are made to screen the stability pictures at the self-second resonance case.

Słowa kluczowe

EN

nonlinear systems; nonlinear coupled parametric Schrödinger equations; stability criteria; nonlinear resonance interaction

PL

układy nieliniowe; kryteria stateczności

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2004
• Tom: Vol. 7, nr 1
• Strony: 69--85
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

El-Dib Y. O.

• Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt,

Bibliografia

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