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Title
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Backlund transformations and Painleve analysis : exact soliton solutions for the unstable nonlinear Schrodinger equation modeling electron beam plasma
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Author
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Abstract
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| In this paper the Backlund transformations technique and Painleve analysis are used to generate classes of exact soliton solutions for some nonlinear evolution equations. For the (1+1)-dimensional problem, the unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the unstable nonlinear Schrodinger (UNLS) equation. Using the Darboux-Bargmann technique, we obtain the Backlund transformations for UNLS equation solvable by the inverse scattering method of Zakharov-Shabat/Ablowitz-Kaup-Newell-Segur (ZS/AKNS) and the ZS/AKNS wave functions corresponding to the soliton solutions of this equation. (C) 1998 American Institute of Physics. |
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Language
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English
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Source (journal)
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Physics of plasmas. - Woodbury, N.Y.
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Publication
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Woodbury, N.Y.
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1998
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ISSN
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1070-664X
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DOI
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10.1063/1.872723
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Volume/pages
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5
:2
(1998)
, p. 395-400
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ISI
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000071834300009
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Full text (Publisher's DOI)
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