On the existence of dark solitons in a cubic-quintic nonlinear Schrödinger equation with a periodic potential
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Publication:956634
DOI10.1007/S00220-008-0527-0zbMath1158.35091arXivnlin/0606016OpenAlexW1965865091MaRDI QIDQ956634
Vladimir V. Konotop, Pedro J. Torres
Publication date: 25 November 2008
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0606016
Periodic solutions to PDEs (35B10) Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Related Items (7)
The instabilities beyond modulational type in a repulsive Bose-Einstein condensate with a periodic potential ⋮ Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential ⋮ On the existence of dark solitons of the defocusing cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity ⋮ Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials ⋮ Quadratic-argument approach to nonlinear Schrödinger equation and coupled ones ⋮ Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients ⋮ Existence of dark solitons in a class of stationary nonlinear Schrödinger equations with periodically modulated nonlinearity and periodic asymptotics
Cites Work
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- The index of Lyapunov stable fixed points in two dimensions
- Elliptic functions and applications
- On the structure of the set of bounded solutions on a periodic Liénard equation
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