Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schroedinger flow (1202.0697v2)

Published 3 Feb 2012 in nlin.PS and cond-mat.quant-gas

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.

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