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This article is cited in 25 scientific papers (total in 25 papers)
Solitons of the resonant nonlinear Schrödinger equation with
nontrivial boundary conditions: Hirota bilinear method
J.-H. Leea, O. K. Pashaevb a Institute of Mathematics, Academia Sinica
b Izmir Institute of Technology
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.
Keywords:
resonant nonlinear Schrödinger equation, quantum potential, cold plasma, magnetoacoustic wave, soliton, Hirota method.
Citation:
J.-H. Lee, O. K. Pashaev, “Solitons of the resonant nonlinear Schrödinger equation with
nontrivial boundary conditions: Hirota bilinear method”, TMF, 152:1 (2007), 133–146; Theoret. and Math. Phys., 152:1 (2007), 991–1003
Linking options:
https://www.mathnet.ru/eng/tmf6075https://doi.org/10.4213/tmf6075 https://www.mathnet.ru/eng/tmf/v152/i1/p133
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Abstract page: | 734 | Full-text PDF : | 343 | References: | 42 | First page: | 6 |
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