Approximate Model Equations for Water Waves
Approximate Model Equations for Water Waves
We present two new model equations for the unidirectional propagation of long waves in dispersive media for the specific purpose of modeling water waves.The derivation of the new equations uses a Padé (2,2) approximation of the phase velocity that arises in the linear water wave theory.Unlike the Korteweg-deVries (KdV) equation …