共查询到20条相似文献,搜索用时 15 毫秒
1.
Huang Zheng-hong 《应用数学和力学(英文版)》2001,23(2):169-177
A cnoidal wave solution of the two dimensional RLW equation of are obtained by elliptic integral method, and the some estimations
the uniqueness and the stability of the periodic solution with both x, y to the Cauchy problem are proved by the priori estimations.
Biography: Huang Zheng-hong (1956-) 相似文献
2.
朱月锐 《应用数学和力学(英文版)》1983,4(3):419-429
The boundary perturdation solutions for blood flow between tworelatively rotating concentric cones(one is stationary andthe other is rotating with constant angle velocityω)havebeen obtained.On the basis of the solutions obtained andby using theory of the narrow gap stability,the stability ofthe stratified blood flow between two relatively rotating con-centric cones with an axial flow is demonstrated. 相似文献
3.
The asymptotic theory of initial value problems for semilinear ware equations in two space dimensions was dealt with. The
well-posedness and vaildity of formal approximations on a long time scale were discussed in the twice continuous classical
space. These results describe the behavior of long time existence for the validity of formal approximations. And an application
of the asymptotic theory is given to analyze a special wave equation in two space dimensions.
Foundation item: Sichuan Youth Foundation (1999-09)
Biography: LAI Shao-yong (1965−), Associate Professor 相似文献
4.
This paper studies the dynamic behaviors of some exact traveling wave solutions to the generalized Zakharov equation and the
Ginzburg-Landau equation. The effects of the behaviors on the parameters of the systems are also studied by using a dynamical
system method. Six exact explicit parametric representations of the traveling wave solutions to the two equations are given. 相似文献
5.
李继彬 《应用数学和力学(英文版)》2008,29(11):1391-1398
By using the dynamical system method to study the 2D-generalized Benney- Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parametric representations for solutions of kink wave, periodic wave and unbounded traveling wave are obtained. 相似文献
6.
李继彬 《应用数学和力学(英文版)》2008,29(4):437-440
By using the method of dynamical systems, the travelling wave solutions of for an integrable nonlinear evolution equation is studied. Exact explicit parametric representations of kink and anti-kink wave, periodic wave solutions and uncountably infinite many smooth solitary wave solutions are given. 相似文献
7.
The theory of planar dynamical systems is used to study the dynamical behaviours of travelling wave solutions of a nonlinear wave equations of KdV type.In different regions of the parametric space,sufficient conditions to guarantee the existence of solitary wave solutions,periodic wave solutions,kink and anti-kink wave solutions are given.All possible exact explicit parametric representations are obtained for these waves. 相似文献
8.
IntroductionWiththerapiddevelopmentofscienceandtechnology ,thestudykernelofmodernscienceischangedfromlineartononlinearstepbystep .Manynonlinearscienceproblemscansimplyandexactlybedescribedbyusingthemathematicalmodelofnonlinearequation .Uptonow ,manyimpor… 相似文献
9.
Huang Nanjing 《应用数学和力学(英文版)》1997,18(6):599-603
In this paper, a new kind of generalized BBM equation is introduced and discussed. Some existence theorems of periodic traveling
wave solutions for this kind generalized BBM equation are given. 相似文献
10.
ConsidertheCauchyproblemforthewaveequationinRN×R+(N≥2):2u(x,t)t2-xiaij(x)xju=|u|p-1·u ((x,t)∈RN×(0,T)),u(x,0)=g(x) (x∈RN),ut(x,0)=h(x) (x∈RN),(1)whereu(x,t)isnontrivialsolutionwithfinitespeedofpropagationandissupportedonaforwardcone(x,t)·t≥0,|… 相似文献
11.
12.
From the point of view of energy analysis,the cause that the uniqueness of theboundary integral equation induced from the exterior Helmholtz problem does not hold isinvestigated in this paper.It is proved that the Sommerfeld’s condition at the infinity ischanged so that it is suitable not only for the radiative wave but also for the absorptive wavewhen we use the boundary integral equation to describe the exterior Helmholtz problem.Therefore,the total energy of the system is conservative.The mathematical dealings toguarantee the uniqueness are discussed based upon this explanation 相似文献
13.
司建国 《应用数学和力学(英文版)》1996,17(1):29-37
SiJianguo(司建国)(ReceivedMay30,1994,CommunicatedbyLinZongchi)DISCUSSIONONTHEPERIODICSOLUTIONSFORHIGHER-ORDERLINEAREQUATIONOFNEU... 相似文献
14.
IntroductionLetC(k- 1)2π =h(t) |h :R →Ris (k -1 )_thordercontinuousdifferentiableandh(t+ 2π) ≡h(t) , C2π =h(t) |h :R →Riscontinuousandh(t+ 2π) ≡h(t) , ‖h(t)‖ =supt∈ [0 ,2π] |h(t) | , ‖h(t)‖Pk- 1 =max‖h(t)‖ ,‖h′(t)‖ ,… ,‖h(k- 1) (t)‖ , x(m) (t+ ·) (θ) =x(m) (t+θ) θ∈R (m =0 ,1 ,2 ,… ,k-1 ) .Clearly ,x(m) (t + ·) ∈C2π, … 相似文献
15.
AytekinGUile 《应用数学和力学(英文版)》2004,25(7):806-811
The numerical solution for a type of quasilinear wave equation is studied. The three-level difference scheme for quasi-linear waver equation with strong dissipative term is constructed and the convergence is proved. The error of the difference solution is estimated. The theoretical results are controlled on a numerical example. 相似文献
16.
In this paper, a new auxiliary equation method is used to find exact travelling wave solutions to the (1+1)-dimensional KdV equation. Some exact travelling wave solu- tions with parameters have been obtained, which cover the existing solutions. Compared to other methods, the presented method is more direct, more concise, more effective, and easier for calculations. In addition, it can be used to solve other nonlinear evolution equations in mathematical physics. 相似文献
17.
The Illner model is the most general two-velocity model of the discrete Boltzmann equation. It includes, as particular cases,
both the Carleman and the McKean model. Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model
can be studied in a concise way. The conclusions of the precursors need ameliorating. A new type of exact solutions in 1+1
dimensions is obtained. This gives a general method for studying non-trivial exact solutions for the similar discrete Boltzmann
equation.
Project supported by the National Natural Science Foundation of China (19631060) and the China Post-Doctoral Science Foundation 相似文献
18.
19.
IntroductionTostudypotentialsandchargedensitiesofatomsinquantummechanics,itissummedupassolvingSchrdingerequationwithwavefunctionψ(r):-122 V(r)ψ(r)=Eψ(r),(1)|ψ(0)|<M,|ψ(r)||r|→∞=0(2)andthecruxofthematterisgoingtodetermineV(r).Thus,theknownThomas_Fermiequation,obtainedi… 相似文献
20.
If the data of the Dirac spinor field is suitably chosen, global solutions of the Klein-Gordon-Dirac Equations with Yukawa coupling are shown to exist for which the meson field remains free. In one space dimension, conditions are found under which the spinor field does not decay uniformly to zero, thus precluding a scattering theory in the H1 (IR1) norm. In three space dimensions, the existence of free Hn(103) (n≧0) asymptotic spinors is established and a scattering theory is developed. 相似文献