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物理学报. 2010, 59(2): 750-753.
doi: 10.7498/aps.59.750.
有完整Coriolis力和热源影响下超长波的解析解
- 收稿日期: 2009-04-13
- 修回日期: 2009-05-15
- 刊出日期: 2010-01-05
摘要: 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.
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关键词:
- Coriolis力 /
- 热源 /
- 超长波 /
- KdV和KdV-mKdV方程
English Abstract
Analytical solutions to ultra-long waves with the complete Coriolis force and heating
- Received Date:
13 April 2009
- Accepted Date:
15 May 2009
- Published Online:
05 January 2010
Abstract: 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.
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Keywords:
- Coriolis force /
- heating /
- ultra-long waves /
- KdV and KdV-mKdV equations
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