Compactons in Nonlinear Schroedinger Lattices with Strong Nonlinearity Management

Journal Article · Fri Sep 10 00:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.105.113901· OSTI ID:21466950

Abdullaev, F Kh ^[1]; Kevrekidis, P G ^[2]; Salerno, M ^[3]

---

1. CFTC, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003 (Portugal)
2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003 (United States)
3. Dipartimento di Fisica 'E. R. Caianiello', CNISM and INFN-Gruppo Collegato di Salerno, Universita di Salerno, Via Ponte don Melillo, 84084 Fisciano (Italy)

The existence of compactons in the discrete nonlinear Schroedinger equation in the presence of fast periodic time modulations of the nonlinearity is demonstrated. In the averaged discrete nonlinear Schroedinger equation, the resulting effective interwell tunneling depends on the modulation parameters and on the field amplitude. This introduces nonlinear dispersion in the system and can lead to a prototypical realization of single- or multisite stable discrete compactons in nonlinear optical waveguide and Bose-Einstein condensate arrays. These structures can dynamically arise out of Gaussian or compactly supported initial data.

• OSTI ID: 21466950
• Journal Information: Physical Review Letters, Vol. 105, Issue 11; Other Information: DOI: 10.1103/PhysRevLett.105.113901; (c) 2010 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOSE-EINSTEIN CONDENSATION
MODULATION
NONLINEAR PROBLEMS
PERIODICITY
SCHROEDINGER EQUATION
TUNNEL EFFECT
WAVEGUIDES
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
VARIATIONS
WAVE EQUATIONS