Propagation of cnoidal waves in a medium with a saturable nonlinear response

Propagation of cnoidal waves in a medium with a saturable nonlinear response

Propagation of periodic cnoidal waves in a medium with a saturable nonlinear response is investigated. The ranges of existence of soliton solutions are determined, and the specific features of such solutions are analysed within the limiting cases of strong and weak energy localisation in cnoidal wav...

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Veröffentlicht in:Quantum electronics (Woodbury, N.Y.) N.Y.), 2001-03, Vol.31 (3), p.257-262
Hauptverfasser: Aleshkevich, Viktor A, Vysloukh, Victor A, Kartashev, Ya V
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
KORTEWEG-DE VRIES EQUATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERIODICITY
QUASI PARTICLES
SOLITONS
STABILITY
VARIATIONS
WAVE PROPAGATION
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Zusammenfassung:Propagation of periodic cnoidal waves in a medium with a saturable nonlinear response is investigated. The ranges of existence of soliton solutions are determined, and the specific features of such solutions are analysed within the limiting cases of strong and weak energy localisation in cnoidal waves. Optical multistability is discussed in the context of the existence of periodic solutions. The stability of cnoidal waves is studied numerically and analytically. (nonlinear optical phenomena)
ISSN:1063-7818
1468-4799
DOI:10.1070/QE2001v031n03ABEH001928