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 journalArticlepeer-review


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
Issue number2
StatePublished - 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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