General Solution to a Bilinear Reduction of the Higher Order Nonlinear Schrödinger Equation |

P.P. Goldstein
Theoretical Physics Department, The Andrzej Sołtan Institute for Nuclear Studies, Hoża 69, 00-681 Warsaw, Poland |

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Received: 21 07 2006; |

The general solution is found to a bilinear reduction of the higher order nonlinear Schrödinger equation. Except for the previously known special cases having multisoliton solutions, the solution has the form of a single envelope solitary wave or wave train for all other values of the parameters. We conjecture that the generic solution is limited to such a narrow class of functions because the bilinear system is overdetermined. |

DOI: 10.12693/APhysPolA.110.769 PACS numbers: 42.81.Dp |