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期刊COMPUTATIONS OF WIND-WAVE COUPLING
《微分方程年刊:英文版》2010年第3期322-331,共10页Tobias Kukulka Tetsu Hara 
supported by the U.S. National Science Foundation (Grant OCE- 0526177);the U.S. Office of Naval Research (Grant N00014-06-10729);supported by a WHOI/NOAA Cooperative Institute for Climate and Ocean Research Postdoctoral Scholarship
We present numerical computations of a new wind-wave coupling theory that is governed by a system of nonlinear advance-delay differential equations (NLADDE). NLADDE are functional differential equations for which the ...显示全部
关键词:nonlinear advance-delay differential equations collocation method functional differential equations wind waves 
期刊Localized waves of the coupled cubic–quintic nonlinear Schrdinger equations in nonlinear optics
《中国物理B:英文版》2017年第12期80-93,共14页徐涛 陈勇 林机 
Project supported by the Global Change Research Program of China(Grant No.2015CB953904);the National Natural Science Foundation of China(Grant Nos.11675054 and 11435005);the Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things(Grant No.ZF1213);the Natural Science Foundation of Hebei Province,China(Grant No.A2014210140)
We investigate some novel localized waves on the plane wave background in the coupled cubic–quintic nonlinear Schr o¨dinger(CCQNLS) equations through the generalized Darboux transformation(DT). A special vector ...显示全部
关键词:generalized Darboux transformation localized waves soliton rogue wave BREATHER coupled cubic-quintic nonlinear Schrdinger equations 
期刊3D dynamic motion of a dielectric micro-sphere within optical tweezers
《光电进展(英文)》2021年第1期14-24,共11页Jing Liu Mian Zheng Zhengjun Xiong Zhiyuan Li 
This work is supported by the National Natural Science Foundation of China(Grant No.11974119 and No.11804399);the Guangdong Innovative and Entrepreneurial Research Team Program(Grant No.2016ZT06C594);the Fundamental Research Funds for the Central Universities,South-Central University for Nationalities(Grant No.CZQ20018);National Key R&D Program of China(No.2018YFA 0306200).
Known as laser trapping,optical tweezers,with nanometer accuracy and pico-newton precision,plays a pivotal role in single bio-molecule measurements and controllable motions of micro-machines.In order to advance the fl...显示全部
关键词:optical tweezers 3D dynamic motion ray optics method Newton mechanical equations 
期刊EXPONENTIAL ESTIMATE OF SOLUTION TO STOCHASTIC FUNCTIONAL DIFFERENTIAL equations WITH INFINITE DELAY
《微分方程年刊:英文版》2010年第3期332-340,共9页Fengying Wei (College of Math. and Computer Sci., Fuzhou University, Fuzhou 350108) Ke Wang (Dept. of Math., Harbin Institute of Technology, Weihai 264209, Shandong) 
Supported by NNSF of China (No.10726062);the Natural Science Foundation of Fujian Province (No.2010J01005);Science and Technology Development Foundation of Fuzhou University(No.2010-XQ-24)
In this paper, by the Burkholder-Davis-Gundy inequality and It formula, the exponential estimate of the solution to stochastic functional differential equations with infinite delay is established in the phase space ...显示全部
关键词:stochastic functional differential equations infinite delay exponential estimate Itö’s formula 
期刊About well posed initial boundary value problem for changing time direction equation by solution and its solvability
《哈尔滨工业大学学报:英文版》2000年第S1期124-125,共2页A.G.Podgaev 
The equation of this type should be nonlinear with nonlinearity at the dominant part defining type of equation. The prime model such equations is diffuse equation with U t=[φ(U x)] x nonmonotone state function φ. In...显示全部
关键词:INITIAL boundary value problem nonlinear equations THEOREM of existance 
期刊General Boundary Value Problems for Nonlinear Uniformly Elliptic equations in Multiply Connected Infinite Domains
《现代非线性理论与应用(英文)》2013年第3期170-175,共6页Guochun Wen Yanhui Zhang Dechang Chen 
This article discusses the general boundary value problem for the nonlinear uniformly elliptic equation of second order in D (0.1) and the boundary condition,(0.2) in a multiply connected infinite domain D with the bo...显示全部
关键词:Boundary Value Problems NONLINEAR ELLIPTIC equations Multiply Connected Infinite DOMAINS 
期刊On the Exact Solution of Burgers-Huxley Equation Using the Homotopy Perturbation Method
《应用数学与应用物理(英文)》2015年第3期285-294,共10页S. Salman Nourazar Mohsen Soori Akbar Nazari-Golshan 
The Homotopy Perturbation Method (HPM) is used to solve the Burgers-Huxley non-linear differential equations. Three case study problems of Burgers-Huxley are solved using the HPM and the exact solutions are obtained. ...显示全部
关键词:Burgers-Huxley EQUATION HOMOTOPY Perturbation Method Nonlinear Differential equations 
期刊EXPONENTIAL ATTRACTORS OF THE GINZBURG-LANDAU-BBM equations IN AN UNBOUNDED DOMAIN
《应用数学学报:英文版》2001年第4期484-493,共10页戴正德 蒋慕蓉 
the National Natural Science Foundation of China (No. 19861004) and AppliedFoundation Research Fund of Yunnan Province and RDC
In this paper, the existence of the exponential attractors for the Ginzburg-Landau-BBM equations in an unbounded domain is proved by using weighted function and squeezing property.
关键词:EXPONENTIAL ATTRACTOR Ginzburg-Landau-BBM equations UNBOUNDED domain WEIGHTED function SQUEEZING property 
期刊The Cauchy problem for a class of nonlinear degenerate parabolic-hyperbolic equations
《中国科学:数学英文版》2019年第5期839-852,共14页Hua Chen Jinpeng Zhan Xin Hu 
supported by National Natural Science Foundation of China (Grant Nos. 11631011 and 11626251)
In this article, we prove a general existence theorem for a class of nonlinear degenerate parabolichyperbolic equations. Since the regions of parabolicity and hyperbolicity are coupled in a way that depends on the sol...显示全部
关键词:parabolic-hyperbolic equations energy METHODS VANISHING VISCOSITY METHODS 
期刊Motion of Nonholonomous Rheonomous Systems in the Lagrangian Formalism
《应用数学与应用物理(英文)》2015年第3期295-309,共15页F. Talamucci 
The main purpose of the paper consists in illustrating a procedure for expressing the equations of motion for a general time-dependent constrained system. Constraints are both of geometrical and differential type. The...显示全部
关键词:Nonholonomous SYSTEMS Rheonomic CONSTRAINTS Quasi-Velocites Appell and Boltzmann-Hamel equations 
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