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作品数:101被引量:122H指数:5
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Construction of conservation laws for the Gardner equation,Landau-Ginzburg-Higgs equation,and Hirota-Satsuma equation
《Communications in Theoretical Physics》2024年第5期49-57,共9页Cheng Chen Faiza Afzal Yufeng Zhang 
funded by the National Natural Science Foundation of China(Grant Nos.12371256&11971475)。
In this paper,two different methods for calculating the conservation laws are used,these are the direct construction of conservation laws and the conservation theorem proposed by Ibragimov.Using these two methods,we o...
关键词:conservation laws Landau-Ginzburg-Higgs equation Hirota-Satsuma equation Gardner equation 
Conserved vectors and symmetry solutions of the Landau–Ginzburg–Higgs equation of theoretical physics
《Communications in Theoretical Physics》2024年第4期51-65,共15页Chaudry Masood Khalique Mduduzi Yolane Thabo Lephoko 
the South African National Space Agency (SANSA) for funding this work
This paper is devoted to the investigation of the Landau–Ginzburg–Higgs equation(LGHe),which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves.The LGHe finds applic...
关键词:Landau-Ginzburg-Higgs equation Lie symmetry analysis group invariant solutions conserved vectors multiplier method Ibragimov's method 
A Tropical View on Landau-Ginzburg Models
《Acta Mathematica Sinica,English Series》2024年第1期329-382,共54页Michael CARL Max PUMPERLA Bernd SIEBERT 
supported by the Studienstiftung des deutschen Volkes;supported by NSF grant DMS-1903437。
This paper,largely written in 2009/2010,fits Landau-Ginzburg models into the mirror symmetry program pursued by the last author jointly with Mark Gross since 2001.This point of view transparently brings in tropical di...
关键词:Landau-Ginzburg model mirror symmetry tropical disk broken line wall structure scattering diagram Gross-Siebert program del Pezzo surface toric degeneration 
Optical dromions for complex Ginzburg Landau model with nonlinear media
《Applied Mathematics(A Journal of Chinese Universities)》2023年第1期111-125,共15页Syed T.R.Rizvi Aly R.Seadawy Muhammad Younis S.O.Abbas Abdul Khaliq 
This manuscript studies the optical dromions with beta derivative(BD)applied to the Complex Ginzburg Landau equation(CGLE)with Kerr law,parabolic law,cubic quintic septic law and quadratic cubic law.We obtain bright d...
关键词:CGLE optical dromians non-Kerr laws 
Localized nonlinear waves in a myelinated nerve fiber with self-excitable membrane
《Chinese Physics B》2023年第2期150-162,共13页Nkeh Oma Nfor Patrick Guemkam Ghomsi Francois Marie Moukam Kakmeni 
We systematically study the evolution of modulated nerve impulses in a myelinated nerve fiber, where both the ionic current and membrane capacitance provide the necessary nonlinear feedbacks. This is achieved by using...
关键词:myelinated nerve Fitzhugh–Nagumo capacitive feedback parameter Ginzburg–Landau COLLISION ANNIHILATION 
Effect of near PT-symmetric potentials on nonlinear modes for higher-order generalized Ginzburg–Landau model
《Communications in Theoretical Physics》2022年第12期1-8,共8页Da Lin Kai-Ru Dong Jia-Rui Zhang Yu-Jia Shen 
In this paper,we study the higher-order generalized Ginzburg–Landau model which contributes to describing the propagation of optical solitons in fibers.By means of the Hirota bilinear method,the analytical solutions ...
关键词:generalized Ginzburg–Landau model parity-time symmetry stability of soliton solutions 
LG/CY Correspondence Between tt^(*)Geometries
《Communications in Mathematical Research》2021年第3期297-348,共52页Huijun Fan Tian Lan Zongrui Yang 
supported by NSFC(11271028,11325101,11671033,11831017,11890660,11890661)
The concept of tt^(*)geometric structure was introduced by physicists(see[4,9]and references therein),and then studied firstly in mathematics by C.Hertling[26].It is believed that the tt*geometric structure contains t...
关键词:tt^(*)geometry Landau-Ginzburg/Calabi-Yau correspondence variation of Hodge structures 
应用多项式完全判别系统方法求解时空分数阶复Ginzburg⁃Landau方程被引量:3
《应用数学和力学》2021年第8期874-880,共7页胡艳 孙峪怀 
国家自然科学基金(12071323)。
研究了时空分数阶复Ginzburg⁃Landau方程.首先通过分数阶复变换将时空分数阶复Ginzburg⁃Landau方程转化为一个常微分方程.然后将常微分方程化为初等积分形式.最后用多项式完全判别系统法求得一系列精确解,其中包含有孤立波解、有理函数...
关键词:时空分数阶复Ginzburg⁃Landau方程 多项式完全判别系统方法 精确解 
Dynamics of high-frequency modulated waves in a nonlinear dissipative continuous bi-inductance network
《Chinese Physics B》2021年第6期193-205,共13页S M Ngounou F B Pelap 
This paper presents intensive investigation of dynamics of high frequency nonlinear modulated excitations in a damped bimodal lattice. The effects of the dissipation are considered through a linear dissipation coeffic...
关键词:dissipative bi-inductance network high-frequency mode continuous approximation dissipative complex Ginzburg–Landau equation programmable electronic generator LT-Pspice observations 
Time-dependent Ginzburg–Landau equations for multi-gap superconductors
《Chinese Physics B》2020年第3期385-388,共4页Minsi Li Jiahong Gu Long Du Hongwei Zhong Lijuan Zhou Qinghua Chen 
Project supported by the National Natural Science Foundation of China(Grant Nos.11564003 and 11865005);the Natural Science Foundation of Guangxi Province of China(Grant No.2018GXNSFAA281024)。
We numerically solve the time-dependent Ginzburg–Landau equations for two-gap superconductors using the finite-element technique. The real-time simulation shows that at low magnetic field, the vortices in small-size ...
关键词:vortex multi-gap SUPERCONDUCTIVITY time dependent finite element technique 
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