Comparison of model equations for small-amplitude long waves

Authors

Jerry L. Bona, The University of Texas at AustinFollow
Hongqiu Chen, The University of Texas at AustinFollow

Abstract

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

Recommended Citation

Bona, J., & Chen, H. (1999). Comparison of model equations for small-amplitude long waves. Nonlinear Analysis, Theory, Methods and Applications, 38 (5), 625-647. https://doi.org/10.1016/S0362-546X(99)00100-5