Abstract:
In this paper, I examine the main results concerning the existence and structure of permanent form travelling waves (PTWs) which may occur in the large-time solution to the following initial-boundary value problem
u(t) + kuu(x) = u(xx) + u(1 - u)
where k not equal 0 is a parameter. To show any solution to above equation with c > 0 provides a permanent form travelling wave solution which could develop as the primary large-time structure in the solution of the initial-value problem of the equation.
