-
利用修正的Burger模式,采用行波解和泰勒级数展开法得到有完整Coriolis力和热源影响下超长波的解析解.得到描述非线性超长波的KdV和KdV-mKdV方程,并得到它的椭圆余弦波解、孤立波解和三角函数周期解.
-
关键词:
- Coriolis力 /
- 热源 /
- 超长波 /
- KdV和KdV-mKdV方程
Ultra-long waves in the modified Burger model are studied by using the method of travelling-wave solution. Taylor series expansion is used to isolate the characteristics of linear waves and identify the nonlinear waves. The analytical solutions to nonlinear ultra-long waves with the complete Coriolis force and heating,which can be approximately described by the KdV equation and the combined KdV and mKdV (KdV-mKdV) equation,are obtained. The cnoidal waves,solitary waves,and soliton-like solutions are also obtained.-
Keywords:
- Coriolis force /
- heating /
- ultra-long waves /
- KdV and KdV-mKdV equations
计量
- 文章访问数: 7603
- PDF下载量: 882
- 被引次数: 0