Dissipative Solitons in Coupled Complex Ginzburg–Landau Equations
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概要
- 論文の詳細を見る
Pulse propagation in inhomogeneous nonlinear media with linear and nonlinear gain and loss, described by a system of nonlinearly coupled complex Ginzburg–Landau equations (CGLEs) with variable coefficients, is considered. Exact solitary pulse (SP) solutions are obtained analytically, for special choices of variable coefficients of the nonlinear gain/loss terms, by a modified Hirota bilinear method. The solutions include space- or time-dependent wave numbers, which imply dilatation or compression of the SPs. Stability of the solutions is tested by means of direct simulations, which demonstrate that, in many cases, the SPs are stable against perturbations.
- 2009-08-15
著者
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Lam Chun
Department Of Mechanical Engineering University Of Hong Kong
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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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Pak On
Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411, U.S.A.
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Nakkeeran Kaliyaperumal
College of Engineering, King's College, University of Aberdeen, Aberdeen AB24 3UE, Scotland, U.K.
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Senthilnathan Krishnamoorthy
Department of Physics, National Institute of Technology, Rourkela-769008, Orissa, India
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Nakkeeran Kaliyaperumal
College of Engineering, King's College, University of Aberdeen, Aberdeen AB24 3UE, Scotland, U.K.
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Lam Chun
Department of Mechanical Engineering, University of Hong Kong, Pokfulam, Hong Kong
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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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