欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究了在数学、力学中广泛出现的一类非线性强阻尼广义sine-Gordon扰动微分方程问题．首先，引入行波变换，求出退化方程的精确解．再构造一个泛函，创建了一个变分迭代算法，最后，求出原非线性强阻尼广义sine-Gordon扰动微分方程问题的近似行波解析解．用变分迭代法可得到的各次近似解，具有便于求解、精度高等特点．求得的近似解析解弥补了单纯用数值方法的模拟解的不足．
英文摘要：
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.
同期刊论文项目
同项目期刊论文
The traveling wave approximate solution for a class of atmospheric wading wave system by generalized
A class of asymptotic solution of sea-air time delay oscillator for the El Nino-southern oscillation
The periodic solution problem of a relative rotation nonlinear system with nonlinear elastic force a
Solution of a class of rotational relativistic rotation dynamic equation using the generalized varia
Generalized Solution of the Singularly Perturbed Boundary Value Problems for Semilinear Elliptic Equ
The traveling wave approximation method for solving solitary wave in Schr？dinger disturbed coupled s
期刊信息
位置：