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

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

2012-02-03

arxiv.org/abs/1202.0697v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages

Scientific paper

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.

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