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Conformal Invariant Asymptotic Expansion Approach for Solving （3＋1）-Dimensional JM Equation

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Communications in Theoretical physics 2006年第6期45卷 979-984页

作者： LI Zhi-Fang RUAN Hang-Yu department of physics Ningbo University Ningbo 315211 China nonlinear science center and physics department Ningbo University Ningbo 315211 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific Engineering Computing Academy of Mathematics and System Sciences the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China

The （3＋1）-dimensional Jimbo-Miwa （JM） equation is solved approximately by using the conformal invariant asymptotic expansion approach presented by Ruan. By solving the new （3＋1）-dimensional integrable models, which are conformal invariant and possess Painlevé property, the approximate solutions are obtained for the JM equation, containing not only one-soliton solutions but also periodic solutions and multi-soliton solutions. Some approximate solutions happen to be exact and some approximate solutions can become exact by choosing relations between the parameters properly.

关键词： (3+1)-dimensional Jimbo-Miwa (JM) equation conformal invariant asymptotic expansion approach Painlevé property approximate and exact solutions

Two-Dimensional nonlinear Laser Spectra Calculations with Numerical Path Integral

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Chinese physics Letters 2012年第8期29卷 122-126页

作者： LIANG Xian-Ting department of physics and Institute of Modern physics Ningbo UniversityNingbo 315211

Two-dimensional three-order nonlinear response functions and the laser spectra of the two-level Frenkel-exciton model,interacting with three short laser pulses in direction-k_(1)+k_(2)+k_(3),are calculated using the numerical path *** method is non-Markovian and the results show that the numerical simulation scheme provides a new pathway for theoretically investigating the multidimensional ultrafast laser spectra including the non-Markovian effects.

关键词： laser Frenkel nonlinear

CTE Solvability, Nonlocal Symmetry and Explicit Solutions of Modified Boussinesq System

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Communications in Theoretical physics 2016年第7期65卷 84-92页

作者：任博程雪苹 Institute of nonlinear science Shaoxing University department of physics Zhejiang Ocean University

A consistent tanh expansion(CTE) method is used to study the modified Boussinesq equation. It i proved that the modified Boussinesq equation is CTE solvable. The soliton-cnoidal periodic wave is explicitly given by a nonanto-BT theorem. Furthermore, the nonlocal symmetry for the modified Boussinesq equation is obtained by th Painlev′e analysis. The nonlocal symmetry is localized to the Lie point symmetry by introducing one auxiliary dependen variable. The finite symmetry transformation related with the nonlocal symemtry is obtained by solving the initia value problem of the prolonged systems. Thanks to the localization process, many interaction solutions among soliton and other complicated waves are computed through similarity reductions. Some special concrete soliton-cnoidal wav interaction behaviors are studied both in analytical and graphical ways.

关键词： modified Boussinesq equation CTE method nonlocal symmetry symmetry reduction

Multi-soliton Solutions of the Konopelchenko-Dubrovsky Equation

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Chinese physics Letters 2001年第9期18卷 1173-1175页

作者： LIN Ji LOU Sen-Yue WANG Ke-Lin Applied physics department Shanghai Jiao Tong UniversityShanghai 200030 center of nonlinear science University of Science and Technology of ChinaHefei 230026 department of physics Zhejiang Normal UniversityJinghua 321004

By using the standard truncated Painlevé analysis, a Backlund transformation is used to obtain some new types of multi-soliton solutions of the (2+ 1)-dimensional integrable Konopelchenko-Dubrovsky equation from the ... 详细信息

关键词： solution. soliton trivial

Derivation of the modification heating conduction equation of a kind of laser thermal effect by quantum mechanics

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Chinese Optics Letters 2003年第7期1卷 411-413页

作者：周凌云张灿邦 Yiying Zhou 吴光敏 Reseach center of nonlinear science Kunming University of Science and Technology Kunming 650093Reseach Center of Nonlinear Science Kunming University of Science and Technology Kunming 650093 department of physics Honghe College Mengzi 661100

The Fourier equation of heat conduction predicts a paradox that the effect of a thermal impulse (e.g. the thermal effect in pulse laser) in an infinite medium; i.e., a thermal impulse is propagated in an infinite velocity. In order to solve the thermal transport paradox, C. W. Ulbrich and M. Chester have proposed the modification heat conduction equation respectively from different macroscopic viewpoint. This paper derived the modification heat conduction equation according to phonon model and quantum mechanics from microscopic viewpoint.

关键词： Heat conduction Phonons Quantum theory Thermal effects

Ca2+ cation-mediated microenvironment for electrochemical hydrodimerization of furfural

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science China Chemistry 2025年

作者： Wei Du Shuangshuang Cha Can Lei Mengxin Qu Zhongqiang Deng Ming Gong Xinhe Bao department of Chemistry and Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials Fudan University State Key Laboratory of Catalysis National Laboratory for Clean Energy Collaborative Innovation Center of Chemistry for Energy Materials Dalian Institute of Chemical Physics Chinese Academy of Sciences

Furfural is one of the most important biomass-based platform molecules as sustainable precursors for chemicals and fuels. The electrochemical hydrodimerization of furfural can generate hydrofuroin, which is a promising precursor for gasoline or jet ***, steering the selectivity toward hydrodimerization under near-neutral conditions that suppress polymerization and disproportionation of furfural remains challenging. Herein, we discovered that tuning the electrolyte cations could be an effective and alternative strategy for modulating furfural reduction to the traditional electrocatalyst design. Under the optimal Ca2+cations,hydrofuroin yield could be much improved from other cations with hydrofuroin selectivity of 95.5%. The systematic characterization of the ion-centered double layer reflected the suitable sizes and charges of hydrated Ca2+for suppressing the hydrogen evolution reaction from activation of surrounding water molecules as well as encouraging furfural accumulation via non-covalent interaction for directing the electron transfer to furfurals. Ions with smaller or larger sizes can either activate local water molecules or form a crowded ionic interface that casts an adverse effect on furfural enrichment. This work not only presents an effective strategy for facilitating biomass valorization via hydrodimerization but also emphasizes the essential role of the ion-centered microenvironment for steering the electrocatalytic pathways.

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The analysis of complex behaviours of a novel three dimensional autonomous system

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Chinese physics B 2010年第7期19卷 156-166页

作者：董高高郑松田立新杜瑞瑾孙梅 Research center for nonlinear science Faculty of ScienceJiangsu University

This paper introduces a new three dimensional autonomous system with five equilibrium points. It demonstrates complex chaotic behaviours within a wide range of parameters, which are described by phase portraits, Lyapunov exponents, frequency spectrum, etc. Analysis of the bifurcation and Poincar@ map is used to reveal mechanisms of generating these complicated phenomena. The corresponding electronic circuits are designed, exhibiting experimental chaotic attractors in accord with numerical simulations. Since frequency spectrum analysis shows a broad frequency bandwidth, this system has perspective of potential applications in such engineering fields as secure communication.

关键词： three dimensional autonomous system chaotic attractor electronic circuit frequency spectrum

Infinitely Many Symmetries of Konopelchenko-Dubrovsky Equation

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Communications in Theoretical physics 2005年第3X期44卷 385-388页

作者： LI Zhi-Fang RUAN Hang-Yu department of physics Ningbo University Ningbo 315211 China nonlinear science center and physics department of ningbo university Ningbo 315211 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific Engineering Computing Academy of Mathematics and System Sciences the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China

A set of generalized symmetries with arbitrary functions of t for the Konopelchenko-Dubrovsky (KD)equation in 2+1 space dimensions is given by using a direct method called formal function series method presented by Lo... 详细信息

关键词： formal function series method Konopelchenko-Dubrovsky equation infinite dimensional generalized ω∞ algebra

A theoretical study of the long-range-disorder mixed-spin antiferromagnet L_2BaNiO_5

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science China(physics,Mechanics & Astronomy) 2006年第5期49卷 576-587页

作者： ZHANG Lin KONG Hongyan nonlinear Research Institute Department of PhysicsBaoji University of Arts and ScienceBaoji 721007China Nonlinear Research InstituteDepartment of PhysicsBaoji University of Arts and ScienceBaoji 721007China

In this paper, we introduce a quasi-one-dimensional S = 1 antiferromagnet Heisenberg model, and some physical properties of antiferromagnet L2BaNiO5 without antiferromagnet long-range-order above the Néel temperature are analyzed based on the frame of two-time Green’s function theory. In a high temperature region, we calculate the correlation functions, and obtain excitation spectrum along Ni chains and the Haldane gap in this spectrum versus temperature. We find that the short-range correlation still exists at high temperature, which leads to the existence of Haldane gap in excitation spectrum. The increment of excitation energy in the spectrum along the Ni chain is found to be induced by the AF interaction between spins of rare-earth and Ni ions. Additionally, we also find that Haldane gap goes up with temperature increasing.

关键词： Heisenberg model two-time Green's-function method Haldane gap antiferromagnetic long-range order