Dissipative double-well potential: Nonlinear stationary and pulsating modes

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.82.056213· OSTI ID:21502850

Zezyulin, Dmitry A ^[1]; Konotop, Vladimir V ^[1]; Alfimov, Georgy L ^[2]

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1. Centro de Fisica Teorica e Computacional, Faculdade de Ciencias, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003 (Portugal)
2. Moscow Institute of Electronic Engineering, Zelenograd, Moscow 124498 (Russian Federation)

The analysis of nonlinear modes in a complex absorbing double-well potential supported by linear gain is presented. Families of the nonlinear modes and their bifurcations are found numerically by means of the properly modified 'shooting' method. Linear stability and dynamics of the modes are studied. It is shown that no stable modes exist in the case of attractive nonlinearity, while stable modes, including nonsymmetric ones, are found when the nonlinearity is repulsive. Varying a control parameter (e.g., the height of barrier between the wells) results in switching from one mode to another. Apart from stationary modes we have found pulsating solutions emergent from unstable modes.

• OSTI ID: 21502850
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevE.82.056213; (c) 2010 The American Physical Society; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
CONTROL
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
POTENTIALS
STABILITY