强阻尼广义sine-Gordon方程特征问题的变分迭代法∗
The variational iteration metho d for characteristic problem of strong damping generalized sine-Gordon equation
摘要
Abstract
A class of nonlinear strong damping sine-Gordon disturbed evolution differential equation is studied which appears widely in mathematics and mechanics. Firstly, we introduce a traveling wave transformation, and obtain the exact solution of degenerate equation. Then a functional calculating method for variational iteration is constructed, thus an iterative expansion is found. Finally, the approximate traveling wave analytic solutions for the original strong damping generalized sine-Gordon disturbed evolution equation are found. The arbitrary order approximate solutions, and the simple variational iteration method are obtained with higher accuracy. The approximate analytic solution can make up for the imperfection of the simple numerical simulation solution.关键词
行波/强阻尼/sine-Gordon方程Key words
traveling wave/strong damping/sine-Gordon equation引用本文复制引用
许永红,石兰芳,莫嘉琪..强阻尼广义sine-Gordon方程特征问题的变分迭代法∗[J].物理学报,2015,(1):10201-10208,8.基金项目
国家自然科学基金(批准号:11202106),中央高校基本科研业务费专项资金(批准号:.2232012D3-34),安徽高校省级自然科学研究项目(批准号：KJ2014A151)和江苏省自然科学基金(批准号:13KJB170016)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11202106), the Fundamental Research Funds for the Central Universities, China (Grant No.2232012D3-34), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant No. KJ2014A151) and the Natural Sciences Foundation from the Universities of Jiangsu Province, China (Grant No.13KJB170016).* Project supported by the National Natural Science Foundation of China (Grant No.11202106), the Fundamental Research Funds for the Central Universities, China (Grant No.2232012D3-34), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant No. KJ2014A151) and the Natural Sciences Foundation from the Universities of Jiangsu Province, China (Grant No.13KJB170016) （批准号:11202106）
