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

Goldstein, P.

doi:10.12693/APhysPolA.110.769

Journal

Acta Physica Polonica A

2006 | 110 | 6 | 769-775

Article title

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

Authors

P. Goldstein

Content

Full texts:

http://przyrbwn.icm.edu.pl/APP/PDF/110/a110z602.pdf [remote]

Title variants

Languages of publication

Abstracts

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

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

Pages

769-775

Physical description

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

References

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Document Type

Publication order reference

Identifiers

DOI

10.12693/APhysPolA.110.769

YADDA identifier

bwmeta1.element.bwnjournal-article-appv110n602kz