Existence of dark solitons in a class of stationary nonlinear Schroedinger equations with periodically modulated nonlinearity and periodic asymptotics
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Matematicas, E. T. S. de Ingenieros Industriales and Instituto de Matematica Aplicada a la Ciencia y la Ingenieria (IMACI), Universidad de Castilla-La Mancha, 13071 Ciudad Real (Spain)
- Grupo de Fisica No Lineal, Departamento de Fisica Aplicada I, Escuela Politecnica Superior, Universidad de Sevilla, C/ Virgen de Africa, 7, 41011 Sevilla (Spain)
In this paper, we give a proof of the existence of stationary dark soliton solutions or heteroclinic orbits of nonlinear equations of Schroedinger type with periodic inhomogeneous nonlinearity. The result is illustrated with examples of dark solitons for cubic and photorefractive nonlinearities.
- OSTI ID:
- 21501289
- Journal Information:
- Journal of Mathematical Physics, Vol. 52, Issue 3; Other Information: DOI: 10.1063/1.3559118; (c) 2011 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Domains of existence and asymptotics of complex periodic solutions of the stationary nonlinear Schroedinger equation
Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schroedinger equation
Dynamics of solitons in the model of nonlinear Schroedinger equation with an external harmonic potential: II. Dark Solitons
Journal Article
·
Thu Feb 28 00:00:00 EST 2008
· Quantum Electronics (Woodbury, N.Y.)
·
OSTI ID:21501289
Bistability and instability of dark-antidark solitons in the cubic-quintic nonlinear Schroedinger equation
Journal Article
·
Thu Dec 15 00:00:00 EST 2011
· Physical Review. A
·
OSTI ID:21501289
Dynamics of solitons in the model of nonlinear Schroedinger equation with an external harmonic potential: II. Dark Solitons
Journal Article
·
Mon Oct 31 00:00:00 EST 2005
· Quantum Electronics (Woodbury, N.Y.)
·
OSTI ID:21501289
+4 more