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optical solitons for the decoupled nonlinear Schr?dinger equation using Jacobi elliptic approach

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Communications in Theoretical Physics 2021年第7期73卷 19-26页

作者： Jamilu Sabru Eric Tala-Tebue Hadi Rezazadeh Saima Arshed Ahmet Bekir Department of Mathematics Northwest UniversityKanoNigeria Laboratoire d'Automatiqueetd InformatiqueAppliquee(LAIA)IUT-FV of BandjounThe University of DschangBP 134BandjounCameroon Faculty of Engineering Technology Amol University of Special Modem TechnologiesAmolIran Department of Mathematics University of the PunjabLahore 54590Pakistan Neighbourhood of Akcaglan Imarli StreetNumber:28/426030EskisehirTurkey

Most of the important aspects of soliton propagation through optical fibers for transcontinental and transoceanic long distances can best be described using the nonlinear Schr?dinger *** solitons are electromagnetic waves that span in nonlinear dispersive media and permit the stress and intensity to stay unaltered as a result of the delicate balance between dispersion and nonlinearity ***,this study exploited the Jacobi elliptic method and obtained different soliton solutions of the decoupled nonlinear Schr?dinger equation with *** about the obtained solutions were made with the aid of some 3D graphs.

关键词： Jacobi elliptic method optical fibers decoupled NLSE optical solitons

optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity

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Chinese Physics B 2021年第12期30卷 424-429页

作者：黄长明邓寒英董亮伟尚策赵波索强波周小芳 Department of Electronic Information and Physics Changzhi UniversityChangzhi 046011China School of Photoelectric Engineering Guangdong Polytechnic Normal UniversityGuangzhou 510665China Department of Physics Shaanxi University of Science&TechnologyXi’an 710021China King Abdullah University of Science and Technology(KAUST Physical Science and Engineering Division(PSEThuwal 23955-6900Saudi Arabia

We investigate the properties of fundamental,multi-peak,and multi-peaked twisted solitons in three types of finite waveguide lattices imprinted in photorefractive media with asymmetrical diffusion *** opposite soliton selfbending signals are considered for different families of *** thresholdless fundamental and multi-peaked solitons are stable in the low power *** existence domain of two-peaked twisted solitons can be changed by the soliton self-bending *** solitons tend to self-bend toward the waveguide lattice,stable two-peaked twisted solitons can be found in a larger region in the middle of their existence ***-peaked twisted solitons are stable in the lower(upper)cutoff region for a shallow(deep)lattice *** results provide an effective guidance for revealing the soliton characteristics supported by a finite waveguide lattice with diffusive nonlocal nonlinearity.

关键词： optical solitons diffusive nonlocal nonlinearity linear stability analysis

Subpicosecond pulse compression in nonlinear photonic crystal waveguides based on the formation of high-order optical solitons

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Chinese Physics B 2005年第2期14卷 366-371页

作者：陈雄文林旭升兰胜 DepartmentofPhysics ShantouUniversityShantou515063China

We investigate by numerical simulation the compression of subpicosecond pulses in two-dimensional nonlinear photonic crystal (PC) waveguides. The compression originates from the generation of high-order optical solitons through the interplay of the huge group-velocity dispersion and the enhanced self-phase modulation in nonlinear PC *** the formation of Bragg grating solitons and gap solitons can lead to efficient pulse compression. The compression factors under different excitation power densities and the optimum length for subpicosecond pulse compression have been determined. As a compressor, the total length of the nonlinear PC waveguide is only ten micrometres and therefore can be easily incorporated into PC integrated circuits.

关键词： nonlinear photonic crystals optical solitons pulse compression

Fractional optical solitons and Fractional Noether’s Theorem with Ortigueira’s Centered Derivatives

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Applied Mathematics 2016年第12期7卷 1340-1352页

作者： Jorge Fujioka Manuel Velasco Argel Ramírez Instituto de Física Departamento De Física-Química Universidad Nacional Autónoma de México México D.F. México nstituto de Física Departamento De Física-Química Universidad Nacional Autónoma de México México D.F. México Centro de Ciencias de la Atmósfera Universidad Nacional Autónoma de México México D.F. México

This paper shows that the centered fractional derivatives introduced by Manuel Duarte Ortigueira in 2006 are useful in the description of optical solitons. It is shown that we can construct a fractional extension of the nonlinear Schrödinger (NLS) equation which incorporates Ortigueira’s derivatives and has soliton solutions. It is also shown that this fractional NLS equation has a Lagrangian density and can be derived from a variational principle. Finally, a fractional extension of Noether’s theorem is formulated to determine the conserved quantities associated to the invariances of the action integral under infinitesimal transformations.

关键词： Fractional Derivatives Centered Derivatives Noether’s Theorem Ortigueira optical solitons

Bright/dark switchable mode-locked fiber laser based on alcohol

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Chinese Optics Letters 2024年第3期22卷 71-75页

作者：张文艳江慧洁杨坤刘楠楠耿利杰郝蕴琦贤天浩詹黎 Henan Key Laboratory of Magnetoelectronic Information Functional Materials School of Physics and Electronic EngineeringZhengzhou University of Light IndustryZhengzhou 450002China State Key Laboratory of Advanced optical Communication Systems and Networks School of Physics and AstronomyShanghai Jiao Tong UniversityShanghai 200240China

A passively switchable erbium-doped fiber laser based on alcohol as the saturable absorber(SA)has been *** SA is prepared by filling the gap between two optical patch cords with alcohol to form a sandwich *** modulation depth of the alcohol-SA is measured to be 6.4%.By appropriately adjusting the pump power and the polarization state in the cavity,three kinds of mode-locked pulse patterns can be achieved and switched,including bright pulse,bright/dark soliton pair,and dark *** different soliton emissions all operate at the fundamental frequency state,with a repetition rate of 20.05 MHz and a central wavelength of~1563 *** the best of our knowledge,this is the first demonstration of a switchable soliton fiber laser using alcohol as the *** experimental results further indicate that organic liquid-like alcohol has great potential for constructing ultrafast lasers.

关键词： optical solitons fiber lasers alcohol pulsed lasers

On global behavior for complex soliton solutions of the perturbed nonlinear Schrödinger equation in nonlinear optical fibers

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Journal of Ocean Engineering and Science 2022年第5期7卷 431-443页

作者： M.S.Osman Hassan Almusawa Kalim U.Tariq Sadia Anwar Sachin Kumar Muhammad Younis Wen-Xiu Ma Department of Mathematics Faculty of ScienceCairo UniversityGiza 12613Egypt Department of Mathematics Faculty of Applied ScienceUmm Alqurah UniversityMakkah 21955Saudi Arabia Department of Mathematics College of SciencesJazan UniversityJazan 45142Saudi Arabia Department of Mathematics Mirpur University of Science and TechnologyMirpur-10250(AJK)Pakistan Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India Centre for Undergraduate Studies University of the PunjabLahore 54590Pakistan Department of Mathematics Zhejiang Normal UniversityJinhua 321004ZhejiangChina Department of Mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics and Statistics University of South FloridaTampaFL 33620USA School of Mathematical and Statistical Sciences North-West UniversityMafikeng CampusPrivate Bag X2046Mmabatho 2735South Africa

In this research article,the perturbed nonlinear Schrödinger equation(P-NLSE)is examined by utilizing two analytical methods,namely the extended modified auxiliary equation mapping and the generalized Riccati equation mapping ***,we establish several sorts of new families of complex soliton wave solutions such as hyperbolic functions,trigonometric functions,dark and bright solitons,periodic solitons,singular solitons,and kink-type solitons wave solutions of the *** the mentioned methods,the results are displayed in 3D and 2D contours for specific values of the open *** obtained findings demonstrate that the implemented techniques are capable of identifying the exact solutions of the other complex nonlinear evolution equations(C-NLEEs)that arise in a range of applied disciplines.

关键词： P-NLSE optical solitons The AEM method The REM method

All-optical switches based on three-soliton inelastic interaction and its application in optical communication systems

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Chinese Physics B 2023年第3期32卷 174-179页

作者：王树斌张鑫马国利朱岱寅 College of Electronic and Information Engineering Nanjing University of Aeronautics and AstronauticsNanjing 211106China Flight College Binzhou UniversityBinzhou 256603China Institute of Aeronautical Engineering Binzhou UniversityBinzhou 256603China

In high-speed optical communication systems,in order to improve the communication rate,the distance between pulses must be compressed,which will cause the problem of the interaction between optical pulses in optical communication systems,which has been widely concerned by *** this paper,the bilinear method will be used to analyze the coupled high-order nonlinear Schro¨dinger equations and obtain their three-soliton ***,the influence of the relevant parameters in the three-soliton solution on the soliton inelastic interaction is *** addition,the constraint conditions of each parameter in the three-soliton solution are analyzed,the inelastic interaction properties of optical solitons under different parameter conditions are obtained,and the relevant laws of the inelastic interaction of solitons are *** results will have potential applications in the soliton control,all-optical switching and optical computing.

关键词： optical solitons solitons interaction nonlinear Schro¨dinger equation soliton solution

Characteristic extraction of soliton dynamics based on convolutional autoencoder neural network

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Chinese Optics Letters 2023年第3期21卷 108-112页

作者：刘聪聪何江勇王攀邢登科李晋刘艳格王志 Tianjin Key Laboratory of Optoelectronic Sensor and Sensing Network Technology Institute of Modern OpticsNankai UniversityTianjin 300350China

In this article,we use a convolutional autoencoder neural network to reduce data dimensioning and rebuild soliton dynamics in a passively mode-locked fiber *** on the particle characteristic in double solitons and triple solitons interactions,we found that there is a strict correspondence between the number of minimum compression parameters and the number of independent parameters of soliton *** shows that our network effectively coarsens the high-dimensional data in nonlinear *** work not only introduces new prospects for the laser self-optimization algorithm,but also brings new insights into the modeling of nonlinear systems and description of soliton interactions.

关键词： fiber lasers optical solitons convolutional autoencoder neural network

Coherent dissipative soliton intermittency in ultrafast fiber lasers

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Chinese Optics Letters 2022年第1期20卷 64-68页

作者：杜岳卿曾超贺志文高群毛东 Key Laboratory of Light Field Manipulation and Information Acquisition Ministry of Industry and Information TechnologyMOE Key Laboratory of Material Physics and Chemistry under Extraordinary ConditionsShaanxi Key Laboratory of Optical Information TechnologySchool of Physical Science and TechnologyNorthwestern Polytechnical UniversityXi’an 710072China

As a universal phenomenon in nonlinear optical systems,intermittency is usually accompanied by the coherence loss such as soliton explosions in fiber *** on real-time spectroscopy,we revealed the coherent dissipative soliton intermittency in normal-dispersion fiber *** increasing the pump strength,the intermittency transforms from the transient pulsation to the bo-stable *** is demonstrated that the slow-gain effect dominates such coherent *** results provide novel insights into laser physics,offering a promising approach for studying the bi-stable dissipative soliton.

关键词： mode-locked lasers optical solitons fiber lasers