Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schrödinger flow

@article{Khamis2012HirotaMF,
  title={Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schr{\"o}dinger flow},
  author={Eduardo G. Khamis and Arnaldo Gammal},
  journal={Physics Letters A},
  year={2012},
  volume={376},
  pages={2422-2424}
}
Abstract In a previous work El et al. (2006) [1] exact stable oblique soliton solutions were revealed in two-dimensional nonlinear Schrodinger 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. 
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