Publication Date:
2016-07-17
Description:
The local dynamics of the KdV–Burgers equation with periodic boundary conditions is studied. A special nonlinear partial differential equation is derived that plays the role of a normal form, i.e., in the first approximation, it determines the behavior of all solutions of the original boundary value problem with initial conditions from a sufficiently small neighborhood of equilibrium.
Print ISSN:
1064-5624
Electronic ISSN:
1531-8362
Topics:
Mathematics