Bound solitons in the ac-driven, damped nonlinear Schrödinger equation

David Cai, A. R. Bishop, Niels Grønbech-Jensen, Boris A. Malomed

Research output: Contribution to journalArticle

Abstract

We demonstrate analytically that the effective potential of interaction between widely separated solitons in a damped, ac-driven nonlinear Schrödinger equation is oscillatory at large distances. We show numerically that two solitons in the system attract each other if the initial distance between them is smaller than a certain critical value; consequently, they will either form an oscillatory bound state with a finite lifetime, collapse to a stable single soliton state, or decay to the rotating background. If the initial separation is greater than the critical value, they separate to form a stable bound state at a second critical distance. The critical distances are in good agreement with the analytical prediction.

Original languageEnglish (US)
Pages (from-to)1677-1679
Number of pages3
JournalPhysical Review E
Volume49
Issue number2
DOIs
StatePublished - 1994

Fingerprint

Damped
nonlinear equations
Solitons
Nonlinear Equations
solitary waves
Bound States
Critical value
Effective Potential
Lifetime
Rotating
Decay
life (durability)
Prediction
decay
predictions
Interaction
Demonstrate
interactions

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Cai, D., Bishop, A. R., Grønbech-Jensen, N., & Malomed, B. A. (1994). Bound solitons in the ac-driven, damped nonlinear Schrödinger equation. Physical Review E, 49(2), 1677-1679. https://doi.org/10.1103/PhysRevE.49.1677

Bound solitons in the ac-driven, damped nonlinear Schrödinger equation. / Cai, David; Bishop, A. R.; Grønbech-Jensen, Niels; Malomed, Boris A.

In: Physical Review E, Vol. 49, No. 2, 1994, p. 1677-1679.

Research output: Contribution to journalArticle

Cai, D, Bishop, AR, Grønbech-Jensen, N & Malomed, BA 1994, 'Bound solitons in the ac-driven, damped nonlinear Schrödinger equation', Physical Review E, vol. 49, no. 2, pp. 1677-1679. https://doi.org/10.1103/PhysRevE.49.1677
Cai, David ; Bishop, A. R. ; Grønbech-Jensen, Niels ; Malomed, Boris A. / Bound solitons in the ac-driven, damped nonlinear Schrödinger equation. In: Physical Review E. 1994 ; Vol. 49, No. 2. pp. 1677-1679.
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