A new nonlinear equation in the shallow water wave problem

作者：Karczewska Anna^*; Rozmej Piotr; Rutkowski Lukasz

来源：Physica Scripta, 2014, 89(5): 054026.

DOI：10.1088/0031-8949/89/5/054026

• shallow water waves
• nonlinear waves
• waves over topography
• higher order KdV-type equation

In this paper, a new nonlinear equation describing shallow water waves with the topography of the bottom directly taken into account is derived. This equation is valid for weakly nonlinear, dispersive, and long wavelength limits. Some examples of soliton motion for various bottom shapes obtained in numerical simulations according to the derived equation are presented.

• 出版日期2014-5