Exact solutions of a variable-coefficient KdV equation arising in a shallow water

被引：8

作者：

Dai, HH ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Tat Chee Ave, Kowloon, Peoples R China

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1999年 / 68卷 / 06期

关键词：

variable-coefficient KdV equation; shallow-water waves; cylindrical KdV equation;

D O I：

10.1143/JPSJ.68.1854

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies a variable-coefficient KdV (vcKdV) equation arising in a shallow water. For a practically acceptable water bottom, we find that it can be transformed into the cylindrical KdV equation. As a result, several exact bounded solutions are obtained. One of the solutions has the shape of a solitary wave with a shelf behind! which confirms approximate analytical and numerical results in the literature.

引用

页码：1854 / 1858

页数：5

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