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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 1, Pages 133–146
DOI: https://doi.org/10.4213/tmf6075 (Mi tmf6075) 		 
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
Full-text PDF (470 kB) Citations (25)
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DOI: https://doi.org/10.4213/tmf6075
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.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 1, Pages 991–1003
DOI: https://doi.org/10.1007/s11232-007-0083-3
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6075
  • https://doi.org/10.4213/tmf6075
  • https://www.mathnet.ru/eng/tmf/v152/i1/p133
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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