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研究了一类非线性扰动Burgers方程的求解问题. 利用变分迭代方法, 首先引入一个泛函, 然后计算它的变分, 最后构造方程的迭代关系式, 得到了相应方程的孤子解的近似展开式. 相似文献
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利用广义变分迭代方法研究了一类非线性发展扰动方程.首先引入一个泛函.然后求其变分,最后构造方程解的迭代关系式.得到了问题的近似解和精确解析解.
关键词:
发展方程
扰动
变分迭代 相似文献
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The corresponding solution for a class of disturbed KdV equation is considered using the analytic method. From the generalized variational iteration theory, the problem of solving soliton for the corresponding equation translates into the problem of variational iteration. And then the approximate solution of the soliton for the equation is obtained. 相似文献
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A class of generalized Vakhnemko equation is considered.
First, we solve the nonlinear differential equation by the homotopic
mapping method. Then, an approximate soliton solution for
the original generalized Vakhnemko equation is obtained. By this method
an arbitrary order approximation can be easily obtained and,
similarly, approximate soliton solutions of other nonlinear
equations can be acquired. 相似文献