On Reductions of Soliton Solutions of Multi-component NLS Models and Spinor Bose-Einstein Condensates

2009/01/01 by Vladimir S. Gerdjikov, V. S. Gerdjikov, Michail D. Todorov +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Applied mathematics #Artificial intelligence #Bose–Einstein condensate #Class (philosophy) #Component (thermodynamics) #Computer science #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Soliton #Spinor #Type (biology) #nlin.SI

paper · pdf · doi:10.1063/1.3265325

published as AIP CP vol. 1186, 15-27 (2009) · AIP AMiTaNS'09 Proceedings,

openalex publication_date 2009/01/01 · arxiv created 2009/12/31 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a class of multicomponent nonlinear Schrödinger equations (MNLS) related to the symmetric BD.I‐type symmetric spaces. As important particular case of these MNLS we obtain the Kulish‐Sklyanin model. Some new reductions and their effects on the soliton solutions are obtained by proper modifying the Zakharov‐Shabat dressing method.

Citations

• Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

Cited by

• Bose-Einstein condensates with F=1 and F=2: reductions and soliton interactions of multi-component NLS models
• Nonlocal Reductions of The Multicomponent Nonlinear Schrödinger Equation on Symmetric Spaces

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