Comparison of model equations for small-amplitude long waves


The initial-value problem for the regularized long wave (RLW) equation is proved to be well posed. It is shown that for small-amplitude, long waves, solutions of this model also agree to the neglected order with solutions of either the Korteweg-de Vries (KdV) equation or RLW equation provided initial data is properly imposed.

Publication Title

Nonlinear Analysis, Theory, Methods and Applications