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利用同伦映射方法研究了一类广义Sine-Gordon方程. 首先引入一个同伦变换. 然后构造了原方程解的迭代关系式. 最后得到了问题的解析解.
关键词:
孤子
扰动
同伦映射 相似文献
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Homotopic method of solving a class of EI Nino/La Nina-Southern Oscillation sea-air oscillator 下载免费PDF全文
The EI Nino/La Nina-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is created. And based on a class of oscillator of the ENSO model, the approximate solution of a corresponding problem is studied by employing the method of homotopic mapping. It is proved from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model. 相似文献
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JiaQi Mo 《中国科学G辑(英文版)》2009,52(7):1007-1010
The model for gain fluency of a laser pulse amplifier is studied. Using the homotopic mapping method, firstly, the system
of the original model is packed up standardization; secondly, introducing a homotopic mapping, taking the property of the
mapping, inducing a contrived parameter, the solving of a nonlinear problem translates into the solving of a linear problem.
Then the approximate expressions of the solution for the corresponding model are obtained. And the precision for the approximate
solution is compared. It illuminates that the obtained approximate solution using the homotopic mapping method possesses higher
approximate degree. At one time, the expansion of solution through the homotopic mapping method can be kept in the analytic
operation. Thus it also enables us through differential and integral operations to obtain other physics behavior for the gain
fluency of laser pulse amplifier. 相似文献
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A reduces equation of the Kelvin wave is considered. By
using the homotopic mapping solving method, the approximate solution
is obtained. The homptopic mapping method is an analytic method,
the obtained solution can analyse operations sequentially. 相似文献
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