F (u,ux ,ut ,uxx ,uxt ,...) 0, where u u(x,t) is the solution of nonlinear partial differential equation (1). We use the transformationsIn this paper, the first integral method is employed for construct exact soliton solutions of Klein-Gordon equation and Whitham-Broer-...
On the nonlinear wave equation u t t B ( t , ‖ u ‖ 2 , ‖ u x ‖ 2 ) u x x = f ( x , t , u , u x , u t , ‖ u ‖ 2 , ‖ u x ‖ 2 ) associated with the mi... On the nonlinear wave equation utt-B (t,|ux |2)uxx=f (x,t,u,ux,ut,|ux |2) as...
On the nonlinear wave equation utt−uxx=f(x,t,u,ux,ut) associated with the mixed homogeneous conditions Nonlinear Anal., 29 (1997), pp. 1217-1230 View in ScopusGoogle Scholar [11] N.T. Long, T.M. Thuyet On the existence, uniqueness of solution of the nonlinear vibrations equation De...
先解相应的齐次方程的定解问题:-|||-ut =uxx-|||-u(x,0)=x(1-x),0≤x≤1-|||-ux(0,t)=ux(1,t)=0,t=0-|||-作变量分离,u(x,t)=∑fn(x)gn(t)对每个分量代入原方程,整理得:-|||-n=l-|||-g,()_f(x)-|||-一(两边分别是关于x,的函数,且相等,只能为一常数)-|||-8n(t...
LI Weidong,SUN Zhizhong.An analysis for a high-order difference scheme for numerical solution to uxx=F(x,t,u,ut,ux). Numerical Methods for Partial Differential Equations . 2006LI Weidong,SUN Zhizhong,ZHAO Lei. An analysis for a high-order difference scheme for numerical solution to ux = ...
This paper concerns the asymptotic behaviors of the solutions to the initial-boundary value problem for scalar viscous conservations laws ut + f(u)x = uxx ... Q Jiu,P Tao - 《应用数学学报(英文版)》 被引量: 8发表: 2003年 加载更多研究...
Long N T,Dung B T. On the nonlinear wave equation utt-B (t,|ux |2)uxx=f (x,t,u,ux,ut,|ux |2) associated with the mixed homogeneous conditions [J]. J Math Anal Appl,2004,292:433 - 458.N. T. Long and B.T. Dung, On the nonlinear wave equation utt -B(t, ux 2)uxx ...
数学物理方程题目,ut=uxx+xU(x,0)=x(1-x),0<=x<=1Ux(0,t)=ux(1,t)=0,t>=0急求,必有重谢! 展开 你的回答被采纳后将获得: 系统奖励15(财富值+成长值)+难题奖励10(财富值+成长值)+提问者悬赏100(财富值+成长值)1个回答 #国庆必看# 旅行如何吃玩结合?雾...
ut x,t uxx x,t f u x,t x in 0,1, t in0,T , u(0,t) 0, u(1,t) ... which the solution of semi-discrete form of the above problem blows up in a finite time and estimate its semi...
两类可化为Ut=Uxx形式的非线性偏微分方程