Propagating Wave Patterns in a Derivative Nonlinear Schrödinger System with Quintic Nonlinearity
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概要
- 論文の詳細を見る
Exact expressions are obtained for a diversity of propagating patterns for a derivative nonlinear Schrödinger equation with the quintic nonlinearity. These patterns include bright pulses, fronts and dark solitons. The evolution of the wave envelope is determined via a pair of integrals of motion, and reduction is achieved to Jacobi elliptic cn and dn function representations. Numerical simulations are performed to establish the existence of parameter ranges for stability. The derivative quintic nonlinear Schrödinger model equations investigated here are relevant in the analysis of strong optical signals propagating in spatial or temporal waveguides.
- 2012-09-15
著者
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Chow Kwok
Department Of Mathematics University Of Arizona
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Malomed Boris
Department Of Interdisciplinary Studies Faculty Of Engineering Tel Aviv University
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Chow Kwok
Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong
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Li Jin
Department of Materials Science, Fudan University, 220 Handan road, Shanghai, 200433, P. R. China
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Li Jin
Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong
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Rogers Colin
Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia
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Malomed Boris
Department of Applied Mathematics, School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University
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Malomed Boris
Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
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