Exact solution for Burgers equation. How to write the matlab code with the given information? Multiple plots for different t's

Code to plot in matlab. Multiple plots on one graph

The Family of Solutions are:

u(x,t)=(-2*sinh(x))/(cosh(x)-exp(-t))

u(x,0)=(-2*sinh(x))/(cosh(x)-1)  As t->0

u(x,t)=-2tanh(x) As t->infinity

x=linspace[-6,6]

t= [.2 .5 1 .2]

Plot should look similar to attachment

Answer 1

[Mijiddorj Renchin-Ochir]

x = -6:0.1:6; hold all axis([-6 6 -4 4]); t=0; u=(-2*sinh(x))./(cosh(x)-exp(-t)); plot(x,u,'--'); for t=0.2:0.5:1.2 u=(-2*sinh(x))./(cosh(x)-exp(-t)); plot(x,u); end