Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/2097
Title: Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method
Authors: Lee, Jyh Hao
Pashaev, Oktay
Keywords: Cold plasma
Hirota method
Magnetoacoustic wave
Quantum potential
Resonant nonlinear Schrödinger equation
Issue Date: Jul-2007
Publisher: Pleiades Publishing
Source: Lee, J. H., and Pashaev, O. (2007). Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method. Theoretical and Mathematical Physics, 152(1), 991-1003. doi:10.1007/s11232-007-0083-3
Abstract: We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for describing uniaxial waves in a cold collisionless plasma. By the Madelung representation, the model transforms into the reaction-diffusion analogue of the nonlinear Schrödinger equation, for which we study the bilinear representation, the soliton solutions, and their mutual interactions.
URI: http://doi.org/10.1007/s11232-007-0083-3
http://hdl.handle.net/11147/2097
ISSN: 0040-5779
1573-9333
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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