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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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 1, pp. 133–146, July, 2007.
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Lee, JH., Pashaev, O.K. Solitons of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions: Hirota bilinear method. Theor Math Phys 152, 991–1003 (2007). https://doi.org/10.1007/s11232-007-0083-3
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DOI: https://doi.org/10.1007/s11232-007-0083-3