Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schroedinger flow
arXiv:1202.0697 · doi:10.1016/j.physleta.2012.06.008
Abstract
In a previous work[1] exact stable oblique soliton solutions were revealed in two dimensional nonlinear Schroedinger flow. In this work we show that single soliton solution can be expressed within the Hirota bilinear formalism. An attempt to build two-soliton solutions shows that the system is "close" to integrability provided that the angle between the solitons is small and/or we are in the hypersonic limit.
4 pages
References in corpus (7)
- Polariton superfluids reveal quantum hydrodynamic solitons
- Oblique dark solitons in supersonic flow of a Bose-Einstein condensate
- Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
- Soliton Instabilities and Vortex Streets Formation in a Polariton Quantum Fluid
- Nonlinear diffraction of light beams propagating in photorefractive media with embedded reflecting wire
- Condition for convective instability of dark solitons
- Interaction of oblique dark solitons in two-dimensional supersonic nonlinear Schrödinger flow