Stability of exact solutions of the cubic-quintic nonlinear Schrödinger equation with periodic potential

• Published in: Нелінійні коливання
• Date: 2010
• Main Authors: Kengne, E., Vaillancourt, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174969
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stability of exact solutions of the cubic-quintic nonlinear Schrödinger equation with periodic potential / E. Kengne, R. Vaillancourt // Нелінійні коливання. — 2010. — Т. 13, № 4. — С. 533-545. — англ.

The nonlinear Schrodinger equation with attractive quintic nonlinearity in periodic potential in 1D, modelling a dilute gas Bose – Einstein condensate in a lattice potential, is considered and one family of exact stationary solutions is discussed. Some of these solutions have neither an analog in t...