Analytical theory for the dark-soliton interaction in nonlocal nonlinear materials with an arbitrary degree of nonlocality
Abstract
We investigate theoretically the interaction of dark solitons in materials with a spatially nonlocal nonlinearity. In particular we do this analytically and for arbitrary degree of nonlocality. We employ the variational technique to show that nonlocality induces an attractive force in the otherwise repulsive soliton interaction.
- Publication:
-
Physical Review A
- Pub Date:
- July 2010
- DOI:
- 10.1103/PhysRevA.82.013826
- arXiv:
- arXiv:1005.4971
- Bibcode:
- 2010PhRvA..82a3826K
- Keywords:
-
- 42.65.Tg;
- 42.65.Sf;
- 42.70.Df;
- 03.75.Lm;
- Optical solitons;
- nonlinear guided waves;
- Dynamics of nonlinear optical systems;
- optical instabilities optical chaos and complexity and optical spatio-temporal dynamics;
- Liquid crystals;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- submitted for publication