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	A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrodinger equations
	Zhu, Yi ; Haberman, Richard ; Yang, Jianke
	2010-05-06 ; 2010-05-06
关键词	weak interactions solitary waves fractal scattering separatrix map KINK-ANTIKINK INTERACTIONS IMPURITY INTERACTIONS ADIABATIC-INVARIANT INTEGRABLE SYSTEMS FRACTAL STRUCTURE COLLISIONS RESONANCE SOLITONS FIBERS MODEL Mathematics, Applied Physics, Multidisciplinary Physics, Mathematical
中文摘要	It is known that weak interactions of two solitary waves in generalized nonlinear Schrodinger (NLS) equations exhibit fractal dependence on initial conditions, and the dynamics of these interactions is governed by a universal two-degree-of-freedom ODE system [Y. Zhu J. Yang, Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrodinger equations, Phys. Rev. E 75 (2007) 036605]. In this paper, this ODE system is analyzed comprehensively. Using asymptotic methods along separatrix orbits, a simple second-order map is derived. This map does not have any free parameters after variable rescalings, and thus is universal for all weak interactions of solitary waves in generalized NLS equations. Comparison between this map's predictions and direct simulations of the ODE system shows that the map can capture the fractal-scattering phenomenon of the ODE system very well both qualitatively and quantitatively. (C) 2008 Elsevier B.V. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCIENCE BV ; AMSTERDAM ; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13972]
专题	清华大学
推荐引用方式 GB/T 7714	Zhu, Yi,Haberman, Richard,Yang, Jianke. A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrodinger equations[J],2010, 2010.
APA	Zhu, Yi,Haberman, Richard,&Yang, Jianke.(2010).A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrodinger equations..
MLA	Zhu, Yi,et al."A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrodinger equations".(2010).

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