supported by the National Natural Science Foundation of China(Nos.11072141 and11272199);the National Basic Research Program of China(No.2012CB725404);the Shanghai Program for Innovative Research Team in Universities;the Research Grants Council of the Hong KongSpecial Administrative Region,China(No.HKU7184/10E);the National Research Foundationof Korea(MEST)(No.NRF-2010-0029446)
This paper uses the Taylor expansion to seek an approximate Korteweg- de Vries equation (KdV) solution to a higher-order traffic flow model with sufficiently large diffusion. It demonstrates the validity of the appr...
Project supported by the National Natural Science Foundation of China(No.11071164);the Innovation Program of Shanghai Municipal Education Commission(No.13ZZ118);the Shanghai Leading Academic Discipline Project(No.XTKX2012);the Innovation Fund Project for Graduate Stu-dent of Shanghai(No.JWCXSL1201)
This paper aims at analyzing the shapes of the bounded traveling wave solu- tions for a class of nonlinear wave equation with a quintic term and obtaining its damped oscillatory solutions. The theory and method of pla...
Project supported by the National Natural Science Foundation of China(No.41175058);the "Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province of China(No.KJ2011A135);the Natural Science Foundation of Zhejiang Province of China(No.Y6110502);the Foundation of the Education Department of Fujian Province of China (No.JA10288);the Natural Science Foundation of Jiangsu Province of China(No.BK2011042)
A class of nonlinear disturbed coupled SchrSdinger systems is studied. The specific technique is used to relate the exact and approximate solutions. The correspond- ing typical coupled system is considered. An exact s...
the Science Foundation of North China Electric Power University(No.93210706)
This paper presents a theoretical analysis for laminar boundary layer flow in a power law non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obt...
the National Natural Science Foundation of China(No.10472061);the Ph.D.Programs Foundation of Ministry of Education of China(No.20060280015)
In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality.Existence,uniqueness and regularity of the optimal control,problem are establi...
Project supported by the National Natural Science Foundation of China(No. 10472003) the Natural Science Foundation of Beijing(No.3002002) the Science Foundation of Beijing Municipal Commission of Education(No.KM200410005019)
The optimality criteria (OC) method and mathematical programming (MP) were combined to found the sectional optimization model of frame structures. Different methods were adopted to deal with the different constrai...
The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly vary...
the NSF of Henan Province (984051900);the NSF of Henan Education Committee (98110015);the Excellent Teacher Foundation of High School in Henan Province
An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution . The approximate sampli...
In this paper, using the integration method, it is sought to solve the problem for the laminar boundary_layer on a flat plate. At first, a trial function of the velocity profile which satisfies the basical boundary co...
In this paper, the necessary theoretical analysis for the approximation boundary element method to solve dynamical response of viscoelastic thin plate presented in [1] is.discussed. The theorem of existence and uniq...