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Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrodinger Equation

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Chinese Physics Letters 2021年第9期38卷 18-21页

作者： Qi-Hao Cao chao-qing dai College of Optical Mechanical and Electrical EngineeringZhejiang A&F UniversityLin’an 311300China

The fractional second-and third-order nonlinear Schrodinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is *** stability and stability interval of solitons are *** anti-interference ability of stable solitons to the small disturbance shows a good robustness.

关键词： solitons stability soliton

Dynamics and formation of vortices collapsed from ring dark solitons in a two-dimensional spin–orbit coupled Bose–Einstein condensate

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Frontiers of physics 2022年第4期17卷 185-193页

作者： Peng-Hong Lu Xiao-Fei Zhang chao-qing dai College of Optical Mechanical and Electrical EngineeringZhejiang A&F UniversityLin’an 311300China Department of Physics Shaanxi University of Science and TechnologyXi’an 710021China

We consider the dynamics and formation of vortices from ring dark solitons in a two-dimensional Bose–Einstein condensate with the Rashba spin–orbit coupling based on the time-dependent coupled Gross–Pitaevskii *** with previous results,the system exhibits complex dynamical behaviors in the presence of the spin–orbit *** the modulation of the spin–orbit coupling,not only the lifetime of ring dark solitons is greatly prolonged,but also their attenuation kinetics is significantly *** two shallow ring dark solitons with the equal strength of the spin–orbit coupling,the radius of ring dark solitons increases to a maximum value over time and then shrinks into a minimum *** to the effect of the snake instability,ring dark solitons split into a series of ring-like clusters of vortex pairs,which perform complex *** indicates that the system is strongly dependent on the presence of the spin–orbit ***,the effect of different initial modulation depths on the dynamics of ring dark solitons is investigated.

关键词： Bose–Einstein condensate Rashba spin–orbit coupling ring dark solitons vortex pairs

Symmetric and antisymmetric vector solitons for the fractional quadric-cubic coupled nonlinear Schrodinger equation

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Communications in Theoretical Physics 2022年第7期74卷 1-8页

作者： Jia-Zhen Xu Qi-Hao Cao chao-qing dai Zhejiang A&F University Zhejiang 311300China

The fractional quadric-cubic coupled nonlinear Schrodinger equation is concerned,and vector symmetric and antisymmetric soliton solutions are obtained by the square operator *** relationship between the Lévy index and the amplitudes of vector symmetric and antisymmetric solitons is *** components of vector symmetric and antisymmetric solitons show a positive and negative trend with the Lévy index,*** stability intervals of these solitons and the propagation constants corresponding to the maximum and minimum instability growth rates are *** indicate that vector symmetric solitons are more stable and have better interference resistance than vector antisymmetric solitons.

关键词： fractional quadric-cubic coupled nonlinear Schrodinger equation vector symmetric solitons vector antisymmetric solitons stability

Solitons and Their Biperiodic Pulsation in Ultrafast Fiber Lasers Based on CB/GO

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Chinese Physics Letters 2024年第8期41卷 28-32页

作者： Zhen-Tao Ju Zhi-Zeng Si Xin Yan chao-qing dai College of Optical Mechanical and Electrical EngineeringZhejiang A&F UniversityLin’an 311300China

The carbon black(CB)is introduced to manufacture CB/graphene oxide(GO)composite material to mitigate limitations of GO as a saturable absorber with the excellent performance in ultrafast fiber *** a central wavelength of 1555.5 nm,the stable mode-locked pulse with width of 656 fs,repetition rate of 20.16 MHz,and high signal-to-noise ratio of 82.07 dB is experimentally ***,experimental observations for pulsation phenomena of vector biperiodic solitons combining period-1 and period-17,period-2 and period-32,period-3 and period-36 are verified via simulations.

关键词： fiber periodic absorber

Tunable Three-Wavelength Fiber Laser and Transient Switching between Three-Wavelength Soliton and Q-Switched Mode-Locked States

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Chinese Physics Letters 2024年第2期41卷 10-13页

作者：司志增戴朝卿刘威 College of Optical Mechanical and Electrical EngineeringZhejiang A&F UniversityLin’an 311300China

We report a passive mode-locked fiber laser that can realize single-wavelength tuning and multi-wavelength spacing tuning *** tuning range is from 1528 nm–1560 nm,and up to three bands of soliton states can be output at the same *** results are confirmed by a nonlinear Schrodinger equation model based on the split-step Fourier *** addition,we reveal a way to transform the multi-wavelength soliton state into the Q-switched mode-locked state,which is period *** results will promote the development of optical communication,optical sensing and multi-signal pulse emission.

关键词： tuning switched Switching

Manipulating the Flipping of Water Dipoles in Carbon Nanotubes

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Chinese Physics Letters 2019年第10期36卷 17-21页

作者： Dang-Xin Mao Xiao-Gang Wang Guo-Quan Zhou Song-Wei Zeng Liang Chen Jun-Lang Chen chao-qing dai Department of Optical Engineering Zhejiang A&F UniversityHangzhou 311300 School of Information and Industry Zhejiang A&F UniversityHangzhou 311300

Flipping of water dipoles in carbon nanotubes is of great importance in many physical and biological applications,such as signal amplification,molecular switches and *** of these applications,understanding and inhibiting the non-negligible thermal noise is ***,we use molecular dynamics simulations to show that the flipping frequency of water dipoles increases with the rising temperature,and the thermal noise can be suppressed by imposed charges and external uniform electric ***,the water dipoles flip periodically between two equiprobable and stable states under alternating electric *** two stable states may be adopted to store 0 and 1 bits for memory storage or molecular computing.

关键词： noise negligible Carbon

Exact Travelling Solutions of Discrete sine-Gordon Equation via Extended Tanh-Function Approach

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Communications in Theoretical Physics 2006年第1X期46卷 23-27页

作者： dai chao-qing ZHANG Jie-Fang Department of Information Physics School of Sciences Zhejiang Forestry University Lin'an 311300 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the extended tanh-function approach.

关键词： discrete sine-Gordon equation exact travelling wave solution extended tanh-function approach

Jacobian Elliptic Function Method and Solitary Wave Solutions for Hybrid Lattice Equation

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Communications in Theoretical Physics 2006年第6期45卷 1057-1062页

作者： WANG Rui-Min dai chao-qing ZHANG Jie-Fang College of Jinhua Professional Technology Jinhua 321000 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, we have successfully extended the Jacobian elliptic function expansion approach to nonlinear differential-difference equations. The Hybrid lattice equation is chosen to illustrate this approach. As a consequence, twelve families of Jacobian elliptic function solutions with different parameters of the Hybrid lattice equation are obtained. When the modulus m → 1 or O, doubly-periodic solutions degenerate to solitonic solutions and trigonometric function solutions, respectively.

关键词： extended Jacobian elliptic function expansion approach hybrid lattice equation Jacobian elliptic function solutions solitonic solutions trigonometric function solutions

Solitary Wave Solutions of Discrete Complex Ginzburg-Landau Equation by Modified Adomian Decomposition Method

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Communications in Theoretical Physics 2009年第1期51卷 81-89页

作者： WANG Yue-Yue dai chao-qing ZHANG Jie-Fang Department of Sciences Zhejiang Forestry University Zhejiang Lin＇an 311300 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, exact and numerical solutions are calculated for discrete complex Ginzburg-Landau equation with initial condition by considering the modified Adomian decomposition method （mADM）, which is an efficient method and does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions are also compared with their corresponding analytical solutions. It is shown that a very good approximation is achieved with the analytical solutions. Finally, the modulational instability is investigated and the corresponding condition is given.

关键词： discrete complex Ginzburg-Landau equation modified Adomian decomposition method solitary wave solutions modulational instability