论文标题

Korteweg-Devries方程的whitham方程和相移

Whitham equations and phase shifts for the Korteweg-deVries equation

论文作者

Ablowitz, Mark J., Cole, Justin T., Rumanov, Igor

论文摘要

考虑到最高衍生物前面的一个小参数,考虑了阶梯状数据的半古典korteweg-devries方程。使用扰动分析Whitham理论被构建到更高阶段。这允许获得一阶段和完整的领先顺序解决方案;结果通过广泛的数值计算证实。

The semi-classical Korteweg-deVries equation for step-like data is considered with a small parameter in front of the highest derivative. Using perturbation analysis Whitham theory is constructed to higher order. This allows the order one phase and the complete leading order solution to be obtained; the results are confirmed by extensive numerical calculations.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源