DEFOCUSING

作品数：40被引量：34H指数：3
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相关机构：中国科学院数学与系统科学研究院更多>>
相关期刊：《International Journal of Modern Nonlinear Theory and Application》《Journal of Applied Mathematics and Physics》《Chinese Journal of Chemical Physics》《Analysis in Theory and Applications》更多>>
相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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Dark solitons on elliptic function background for the defocusing Hirota equation
《Communications in Theoretical Physics》2025年第3期21-36,共16页Xin Wang Jingsong He 
supported by the National Natural Science Foundation of China(Grant No.12326304,12326305,12071304);the Shenzhen Natural Science Fund(the Stable Support Plan Program)(Grant No.20220809163103001);the Natural Science Foundation of Henan Province(Grant No.232300420119);the Excellent Science and Technology Innovation Talent Support Program of ZUT(Grant No.K2023YXRC06);Funding for the Enhancement Program of Advantageous Discipline Strength of ZUT(2022)。
We investigate dark solitons lying on elliptic function background in the defocusing Hirota equation with third-order dispersion and self-steepening terms.By means of the modified squared wavefunction method,we obtain...
关键词：darboux transformation dark soliton elliptic functions theta functions defocusing hirota equation 
Riemann–Hilbert problem for the defocusing Lakshmanan–Porsezian–Daniel equation with fully asymmetric nonzero boundary conditions
《Chinese Physics B》2024年第9期208-215,共8页Jianying Ji Xiyang Xie 
the Fundamental Research Funds for the Central Universities(Grant No.2024MS126).
The Riemann–Hilbert approach is demonstrated to investigate the defocusing Lakshmanan–Porsezian–Daniel equation under fully asymmetric nonzero boundary conditions.In contrast to the symmetry case,this paper focuses...
关键词：Riemann-Hilbert problem defocusing Lakshmanan-Porsezian-Daniel equation inverse scatter-ing transform asymmetric nonzero boundary conditions 
Scattering for the Non-Radial Defocusing Nonlinear Inhomogeneous Hartree Equation
《Journal of Partial Differential Equations》2024年第3期278-294,共17页TONG Chengjun WU Haigen XU Chengbin 
supported by Qinghai Natural Science Foundation(No.2024-ZJ-976).
The purpose of this paper is to study scattering theory for the energy subcritical solutions to the non-radial defocusing inhomogeneous Hartree equation iδ_(t)u+Δu=(I_(a)*|·|^(b)|u|^(p))|·|^(b)|u|^(p-2)u.Taking ad...
关键词：Inhomogeneous Hartree equation scattering theory Strichartz estimates Morawetz estimate 
Soliton resolution and asymptotic stability of N-solutions for the defocusing Kundu–Eckhaus equation with nonzero boundary conditions
《Communications in Theoretical Physics》2024年第1期1-6,共6页Engui Fan Yanxi Zhang 
supported by the National Science Foundation of China(Grant No.12271104,51879045)。
In this paper,we address interesting soliton resolution,asymptotic stability of N-soliton solutions and the Painleve asymptotics for the Kundu-Eckhaus(KE)equation with nonzero boundary conditions iq_(t)+q_(xx)-2(l|q|^...
关键词：defocusing Kundu-Eckhaus equation Riemann-Hilbert problems steepest descent method soliton resolution asymptotic stability Painleve transcendents 
Asymptotic analysis of multi-valley dark soliton solutions in defocusing coupled Hirota equations被引量：1
《Communications in Theoretical Physics》2023年第11期38-48,共11页Ziwei Jiang Liming Ling 
supported by the National Natural Science Foundation of China(No.12122105).
We construct uniform expressions of such dark soliton solutions encompassing both single-valley and double-valley dark solitons for the defocusing coupled Hirota equation with high-order nonlinear effects utilizing th...
关键词：coupled Hirota equation uniform Darboux transformation dark soliton solution asymptotic analysis 
Global multiplicity of solutions to a defocusing quasilinear Schrodinger equation with the singular term
《Science China Mathematics》2023年第8期1789-1812,共24页Siyu Chen Carlos Alberto Santos Minbo Yang Jiazheng Zhou 
supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq/Brazil) (Grant No.311562/2020-5);supported by National Natural Science Foundation of China (Grant Nos.11971436 and 12011530199);Natural Science Foundation of Zhejiang (Grant Nos.LZ22A010001 and LD19A010001);supported by Coordenacao de Aperfei coamento de Pessoal de Nível Superior (CAPES/Brazil) (Grant No.2788/2015-02)。
We consider a class of modified quasilinear Schrodinger equations-△u+k/2u△u^(2)=λα(x)u^(-α)+b(x)u^(β) in Ω with u(x)=0 on■Ω,where Ω■R^(N)is a bounded domain with a regular boundary,N≥3,a and b are bounded ...
关键词：quasilinear Schrodinger equation singular term square diffusion term 
3D particle streak velocimetry by defocused imaging被引量：1
《Particuology》2023年第1期1-9,共9页Xiangrui Dong Xiaoxiao Wang Wu Zhou Fangting Wang Xinran Tang Xiaoshu Cai 
supported by the National Natural Science Foun-dation of China(grant numbers 51906154,51576130);NaturalScience Foundation of Shanghai(grant number 21ZR1443700).
Particle streak velocimetry (PSV) has become one of the important branches of flow filed measurements. It extracts velocity information from particle trajectories captured by single frame long exposure images. Since t...
关键词：Defocusing particle streak velocimetry Curve trajectory Three-dimensional velocity Gray value distribution 
A Novel Method for Solving Nonlinear Schrödinger Equation with a Potential by Deep Learning
《Journal of Applied Mathematics and Physics》2022年第10期3175-3190,共16页Chaojun Zhang Yuexing Bai 
The improved physical information neural network algorithm has been proven to be used to study integrable systems. In this paper, the improved physical information neural network algorithm is used to study the defocus...
关键词：Physics-Informed Neural Networks Improved Physics-Informed Neural Net-works Defocusing NLS Equation Rogue Wave Solution 
A deep-learning-based workflow to deal with the defocusing problem in high-throughput experiments被引量：1
《Bioactive Materials》2022年第5期218-229,共12页Yunfan Xue Honglin Qian Xu Li Jing Wang Kefeng Ren Jian Ji 
supported by the National Key Research and Development Program of China(2017YFB0702500);the National Natural Science Foundation of China(51933009,21875210);the Fundamental Research Funds for the Central Universities(2020FZZX003-01-03);Zhejiang Provincial Ten Thousand Talents Program(2018R52001).
The increasing throughput of experiments in biomaterials research makes automatic techniques more and more necessary.Among all the characterization methods,microscopy makes fundamental contributions to biomaterials sc...
关键词：HIGH-THROUGHPUT Deep learning Cell imaging REFOCUSING MICROSCOPY 
Test of 1∶4 Scaled HTS Defocusing Magnet for 2 GeV FFAG Accelerator
《Annual Report of China Institute of Atomic Energy》2020年第1期123-124,共2页FU Wei WANG Chuan ZHOU Hongji 
Considering the requirements of high energy efficiency and significant beam loss for the magnet system of 2 GeV FFAG accelerator,the high temperature superconducting magnet of 2 GeV FFAG accelerator was designed preli...
关键词：HTS GEV TEST 
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