Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method |
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Authors: | J.-H. Lee O. K. Pashaev |
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Affiliation: | (1) Institute of Mathematics, Academia Sinica, Taipei, 11529, Taiwan;(2) Department of Mathematics, Izmir Institute of Technology, Urla-Izmir, 35430, Turkey |
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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. |
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Keywords: | resonant nonlinear Schr?dinger equation quantum potential cold plasma magnetoacoustic wave soliton Hirota method |
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