Dynamics of Partial Differential Equations
Volume 4 (2007)
Self-similar solutions of the non-strictly hyperbolic Whithamequations for the KdV hierarchy
Pages: 263 – 282
We study the Whitham equations for all the higher order KdV equations. The Whitham equations are neither strictly hyperbolic nor genuinely nonlinear. We are interested in the solution of the Whitham equations when the initial values are given by a step function.
Whitham equations, KdV equation, self-similar solution, KdV hierarchy
2010 Mathematics Subject Classification