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

• Authors: P. Goldstein
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

42.81.Dp

Discipline

• 42.81.Dp: Propagation, scattering, and losses; solitons

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 110
• Issue: 6
• Pages: 769-775

Dates

published

2006-12

received

2006-07-21

Contributors

author

P. Goldstein

• Theoretical Physics Department, The Andrzej Sołtan Institute for Nuclear Studies, Hoża 69, 00-681 Warsaw, Poland

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Identifiers

DOI

10.12693/APhysPolA.110.769