Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schroedinger flow
Pattern Formation and Solitons
2012-07-03 v2 Quantum Gases
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.
Cite
@article{arxiv.1202.0697,
title = {Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schroedinger flow},
author = {E. G. Khamis and A. Gammal},
journal= {arXiv preprint arXiv:1202.0697},
year = {2012}
}
Comments
4 pages