The Korteweg-de Vries-Kawahara equation in a bounded domain and some numerical results

We are concerned with the initial-boundary problem associated to the Korteweg–de Vries–Kawahara perturbed by a dispersive term which appears in several fluids dynamics problems. We obtain local smoothing effects that are uniform with respect to the size of the interval. We also propose a simple finite different scheme for the problem and prove its unconditional stability. Finally we give some numerical examples. Ó 2007 Elsevier Inc. All rights reserved.

• Type: Journal
• Year: 2007
• Where: AMC
• Authors: Juan Carlos Ceballos, Mauricio Sepúlveda, Octavio Paulo Vera Villagrán
• Keywords: AMC 2007, Dispersive Term, Local Smoothing Effects, fluids Dynamics Problems