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-...
求解偏微分方程设U=U(x,t),满足Ut=Uxx+U,U(x,0)=xe^2x,求U(x,t) 答案 u(x,t)=(4t+x)e^(5t+2x).唯一性我没验证.我只能输100字,没法细说.大概就是分离变量,得到一个带可变常数c的解,比如说u_c.那么u_(c+h)也是解,(u_(c+h)-u_c)/h也是解,相当于可以对c求导,以满足边界条件....
The equations of typeut=uxxx+G(u,ux,uxx) which describe η‐pseudospherical surfaces are characterized. A new class of such equations is obtained. This class together with the Korteweg–de Vries (KdV) equation, the modified Korteweg–de Vries (MKdV) equation, and the linear equation completes...
设U=U(x,t),满足Ut=Uxx+U,U(x,0)=xe^2x,求U(x,t) 扫码下载作业帮搜索答疑一搜即得 答案解析 查看更多优质解析 解答一 举报 u(x,t)=(4t+x)e^(5t+2x).唯一性我没验证.我只能输100字,没法细说.大概就是分离变量,得到一个带可变常数c的解,比如说u_c.那么u_(c+h)也是解,(u_(c+h)-u_...
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...
数学物理方法题:Ut=Uxx,0<x<2,t>0/U(0,t)=0,Ux(0,t)=1,t>=0/U(x,0)=x+3sin(3πx/4),0<=x<=2 我来答 1个回答 #热议# 张桂梅帮助的只有女生吗?522597089 2013-06-18 · TA获得超过6620个赞 知道大有可为答主 回答量:1145 采纳率:0% 帮助的人:977万 我也去答题...
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...
对具有两条边界影响的广义BBM-Burgers方程ut+f(u)x=uxx+uxxt,(x0,t0)相应的一般初边值问题研究解的整体存在性及其渐近性态. 叶芳慧,秦荣欢 - 《玉林师范学院学报》 被引量: 8发表: 2008年 一类广义BBM型方程的整体强解 本文考虑广义BBM型方程ut-uxxt+f(u)x=g(x,t)-h(u)+σ(ux)x的初边值问...
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...
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...