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Periodic and solitary waves of the cubic–quintic nonlinear Schrödinger equation

Published online by Cambridge University Press:  27 July 2004

LIU HONG ,
ROBERT BEECH ,
FREDERICK OSMAN ,
HE XIAN-TU ,
LOU SEN-YUE  and
HEINRICH HORA
LIU HONG
Affiliation:
Graduate School, China Academy of Engineering Physics, PO Box 2101, Beijing 100088, People's Republic of China
ROBERT BEECH
Affiliation:
School of Quantitative Methods and Mathematical Sciences, University of Western Sydney, Locked Bag 1797, Penrith South DC 1797, Australia
FREDERICK OSMAN
Affiliation:
School of Quantitative Methods and Mathematical Sciences, University of Western Sydney, Locked Bag 1797, Penrith South DC 1797, Australia
HE XIAN-TU
Affiliation:
Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, People's Republic of China
LOU SEN-YUE
Affiliation:
Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, People's Republic of China Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China
HEINRICH HORA
Affiliation:
Department of Theoretical Physics, University of New South Wales, Sydney 2052, Australiaf.osman@uws.edu.au
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Abstract

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This paper presents the possible periodic solutions and the solitons of the cubic–quintic nonlinear Schrödinger equation. Corresponding to five types of different structures of the pseudo-potentials, five types of periodic solutions are given explicitly. Five types of solitons are also obtained explicitly from the limiting procedures of the periodic solutions. This will benefit the study of the generation of fast ions or electrons, which are produced from the soliton breaking when the plasma is irradiated a high-intensity laser pulse.

Type
Papers
Information
Journal of Plasma Physics , Volume 70 , Issue 4 , August 2004 , pp. 415 - 429
Copyright
© 2004 Cambridge University Press