共查询到17条相似文献,搜索用时 437 毫秒
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研究了一类输电线非线性振动的动力学模.利用同伦映射方法,得到了该模型的任意次精度的近似解.
关键词:
输电线
非线性振动
同伦映射
近似解 相似文献
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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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The homotopic mapping solution for the solitary wave for a generalized nonlinear evolution equation 下载免费PDF全文
This paper studies a generalized nonlinear evolution equation.Using the homotopic mapping method,it constructs a corresponding homotopic mapping transform.Selecting a suitable initial approximation and using homotopic mapping,it obtains an approximate solution with an arbitrary degree of accuracy for the solitary wave.From the approximate solution obtained by using the homotopic mapping method,it possesses a good accuracy. 相似文献
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Approximate homotopy similarity reduction for the generalized Kawahara equation via Lie symmetry method and direct method 下载免费PDF全文
<正>This paper studies the generalized Kawahara equation in terms of the approximate homotopy symmetry method and the approximate homotopy direct method.Using both methods it obtains the similarity reduction solutions and similarity reduction equations of different orders,showing that the approximate homotopy direct method yields more general approximate similarity reductions than the approximate homotopy symmetry method.The homotopy series solutions to the generalized Kawahara equation are consequently derived. 相似文献