Comparison of model equations for small-amplitude long waves
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
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