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20 April 2024

» arxiv » nlin/0611003

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Solitons of the Resonant Nonlinear Schrodinger Equation with Nontrivial Boundary Conditions and Hirota Bilinear Method
Jyh-Hao Lee ; Oktay K. Pashaev ;
Date:	2 Nov 2006
Subject:	Exactly Solvable and Integrable Systems; Pattern Formation and Solitons
Abstract:	Physically relevant soliton solutions of the resonant nonlinear Schrodinger (RNLS) equation with nontrivial boundary conditions, recently proposed for description of uniaxial waves in a cold collisionless plasma, are considered in the Hirota bilinear approach. By the Madelung representation, the model is transformed to the reaction-diffusion analog of the NLS equation for which the bilinear representation, soliton solutions and their mutual interactions are studied.
Source:	arXiv, nlin/0611003
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