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Star Products of Quartic Maps with Two Equally High Peaks

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Chinese physics Letters 2000年第4期17卷 252-254页

作者： ZHOU Zhong PENG Shou-Li center for nonlinear Complex Systems Department of PhysicsYunnan UniversityKunming 650091 CCAST(World Laboratory)t PO Box 8730 Beijing 100080

The double-well potential systems and a hybrid optical bistability device with liquid crystal have a relation to quartic maps with two equally high *** star products for all doubly superstable kneading sequences in the kneading plane are presented,the generalized Feigenbaum's metric universalities such as scaling factors{αc,αD,αE}and convergent rates{δ_(a),δ_(η),δ_(a,η)}are obtained.

关键词： convergent scaling equally

Semiclassical Evaluation of the Quantum Propagator of Chaotic Systems

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Chinese physics Letters 2000年第7期17卷 472-474页

作者： ZHANG Fei-zhou WANG Jiao GU Yan department of Astronomy and Applied physics University of Science and Technology of ChinaHefei 230026 center of nonlinear Science University of Science and Technology of ChinaHefei 230026

The propagators of quantum chaotic systems in configuration space are calculated semiclassically. For the strongly chaotic system whose phase space is torus, such as baker's map, we find that, long after a logarithm time, the quantum propagator can be evaluated approximately as the local average of the semiclassical one on each quantum cell h.

关键词： quantum chaotic semi

Calculation of the π Meson Electromagnetic Form Factor

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Chinese physics Letters 2001年第6期18卷 743-745页

作者： WANG Zhi-Gang WAN Shao-Long WANG Ke-Lin center for nonlinear Science University of Science and Technology of ChinaHefei 230026 department of Astronomy and Applied physics University of Science and Technology of ChinaHefei 230026

The modified flat-bottom potential(MFBP)is given by the combination of the flat-bottom potential with considerations for the infrared and ultraviolet asymptotic behaviour of the effective quark-gluon ***πmeson electromagnetic form factor is calculated in the framework of coupled Schwinger-Dyson equation and Bethe-Salpeter equation in simplified impulse approximation(dressed vertex)with *** our numerical results give good fit to experimental values.

关键词： equation vertex simplified

On a New Three-Component Camassa Holm Equation with Peakons

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Communications in Theoretical physics 2010年第2期53卷 223-230页

作者：屈长征付英 center for nonlinear Studies Northwest University department of Mathematics Northwest University

A new three-component Camassa-Holm equation is introduced. This system is endowed with a structuresimilar to the Camassa-Holm equation. It has peakon solitons and conserves H^1-norm conservation law.

关键词： multi-component Camassa-Holm equation peakon solitons H^1-norm conservation law

Lie Symmetry Analysis, Conservation Laws and Exact Power Series Solutions for Time-Fractional Fordy–Gibbons Equation

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Communications in Theoretical physics 2016年第9期65卷 321-329页

作者：冯连莉田守富王秀彬张田田 department of Mathematics and center of nonlinear Equations China University of Mining and Technology

In this paper, the time fractional Fordy–Gibbons equation is investigated with Riemann–Liouville derivative. The equation can be reduced to the Caudrey–Dodd–Gibbon equation, Savada–Kotera equation and the Kaup–Kupershmidt equation, etc. By means of the Lie group analysis method, the invariance properties and symmetry reductions of the equation are derived. Furthermore, by means of the power series theory, its exact power series solutions of the equation are also constructed. Finally, two kinds of conservation laws of the equation are well obtained with aid of the self-adjoint method.

关键词： time-fractional Fordy-Gibbons equation Lie symmetry method symmetry reduction exact solution conservation laws

dynamics and Manipulation for Gap Solitons in Bose-Einstein Condensates under Optical Lattice and Harmonic Potentials

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Communications in Theoretical physics 2011年第8期56卷 273-280页

作者：宗丰德黎菁宋昌盛 Institute of nonlinear physics Zhejiang Normal University

By means of an extended variational approach,we study dynamics for gap solitons in a repulsive interactionBose-Einstein condensate under both a harmonic and an optical lattice *** simplified analytic theorygives the critical strength ratio of harmonic to optical lattice necessary to support multiple stable lattice sites for ***,we use numerical experiments to guide and manipulate the gap solitons to an arbitrary positionvia a time-dependent *** predictions of the extended variational approach are reasonably close to results ofthe *** particular,the variational model helps capture the composition relationship between the variationsof chirp and amplitude.

关键词： Bose-Einstein condensate Gross-Pitaevskii equations extended variational approach gap soli-tons manipulation

Spatiotemporal binary interaction and designer quasi-particle condensates

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Chinese physics B 2014年第3期23卷 326-332页

作者： Ramaswamy Radha Pattu Sakthi Vinayagam Hyun Jong Shin Kuppuswamy Porsezian Centre for nonlinear Science Post Graduate and Research Department of Physics Government College for Women (Autonomous) department of physics and Research Institute of Basic Sciences Kyung Hee University department of physics Pondicherry University

We introduce a new integrable model to investigate the dynamics of two component quasi-particle condensates with spatiotemporal interaction strengths. We derive the associated Lax pair of the coupled Gross-Pitaevskii （GP） equation and construct matter wave solitons, We show that the spatiotemporal binary interaction strengths not only facilitate the stabilization of the condensates, but also enables one to fabricate condensates with desirable densities, geometries, and properties, leading to the so-called ＂designer quasi-particle condensates＂.

关键词： gauge transformation bright soliton Gross-Pitaevskii (GP) equation

dynamics of rotator chain with dissipative boundary

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Frontiers of physics 2014年第4期9卷 511-518页

作者： Pu Ke Zhi-Gang Zheng department of physics and the Beijing Hong Kong Singapore Joint center for nonlinear and Complex Systems (Beijing) Beijing Normal University Beijing 100875 China

We study the deternfinistic dynanfics of rotator chain with purely mechanical driving on the boundary by stability analysis and numerical sinmlation. Globally synchronous rotation, clustered synchronous rotation, and split synchronous rotation states are identified. In particular, we find that the single-peaked wariance distribution of angular momenta is the consequence of the deterministic dynamics. As a result, the operational definition of temperature used in the previous studies on rotator chain should be revisited.

关键词： rotator chain energy conduction

In-situ Ultrafast Transmission Electron Microscopy: Advancing Ultrafast dynamics Research under Multi-Field Coupling at the Nanoscale

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Chinese physics Letters 2025年第1期42卷 99-101页

作者： Ji, Shaozheng Chen, Lenan Fu, Xuewen Ultrafast Electron Microscopy Laboratory The MOE Key Laboratory of Weak-Light Nonlinear Photonics School of Physics Nankai University Tianjin300071 China School of Materials Science and Engineering Smart Sensing Interdisciplinary Science Center Nankai University Tianjin300350 China

In recent years,the development of ultrafast transmission electron microscopy(UTEM)has created new opportunities for studying dynamic processes at the nanoscale with unprecedented temporal resolution.~([1–3])The significant advances in femtosecond and even attosecond temporal resolution are achieved through the integration of the pump-probe principle with transmission electron microscopy(TEM).

关键词： resolution. Electron Coupling