A potential of incoherent attraction between multidimensional solitons

Andrey Maimistov, Boris Malomed, Anton Desyatnikov

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

We obtain analytical expressions for an effective potential of interaction between two-and three-dimensional (2D and 3D) solitons (including the case of 2D vortex solitons) belonging to two different modes which are incoherently coupled by cross-phase modulation. The derivation is based on calculation of the interaction term in the full Hamiltonian of the system. An essential peculiarity is that, in the 3D case, as well as in the case of 2D solitons with unequal masses, the main contribution to the interaction potential originates from a vicinity of one or both solitons, similarly to what was recently found in the 2D and 3D single-mode systems, while in the case of identical 2D solitons, the dominating area covers all the space between the solitons. Unlike the single-mode systems, stable bound states of mutually orbiting solitons are possible in the bimodal system.

Original languageEnglish
Pages (from-to)179-184
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume254
Issue number3-4
Publication statusPublished - Apr 12 1999
Externally publishedYes

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attraction
solitary waves
interactions
phase modulation
derivation
vortices

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

A potential of incoherent attraction between multidimensional solitons. / Maimistov, Andrey; Malomed, Boris; Desyatnikov, Anton.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 254, No. 3-4, 12.04.1999, p. 179-184.

Research output: Contribution to journalArticle

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