Bound solitons in coupled nonlinear Schrödinger equations

Boris A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

115 Scopus citations


Interaction of solitons belonging to different modes is analyzed in the framework of a system of nonlinear Schrödinger equations with incoherent and coherent nonlinear couplings with different group velocities. It is demonstrated that the two solitons can form a strongly bound state with coinciding centers and several weakly bound states with far-separated centers. The bound states of the latter type can be produced only by the coherent nonlinear coupling, provided it is stronger than the incoherent one. The results obtained are employed to explain qualitatively recent experiments with interactions of solitary pulses in the subcritical traveling-wave convection.

Original languageEnglish
Pages (from-to)R8321-R8323
JournalPhysical Review A
Issue number12
StatePublished - 1992


Dive into the research topics of 'Bound solitons in coupled nonlinear Schrödinger equations'. Together they form a unique fingerprint.

Cite this