一类非线性发展方程的显式精确解  

Explicit and Exact Solutions for a Type of Nonlinear Evolution Equation

作　　者：吴晓飞[1] 华国盛[1] 

机构地区：[1]浙江丽水学院计算机信息分院,浙江丽水323000

出　　处：《新疆师范大学学报（自然科学版）》2005年第4期17-20,共4页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：浙江丽水学院青年科研基金项目资助(编号:QN04006)

摘　　要：文章推广了齐次平衡原则及F-展开法的思想,求得了含有参数的一类具有广泛物理背景的非线性发展方程utt-a1uxx+a2u+a3u3=0的显式精确解,其解主要包括Jacob i椭圆函数双周波期解、钟型孤波解和扭结型孤波解。用该方法求解不仅能获得一些新解而且方法简便,可以为求解其它类似的方程提供借鉴。In this paper, the F-expansion and homogeneous method are used to solve a type of nonlin- ear evolution equation： utt-a1uxx＋a2u＋a3u^3=0. By means of the method, many kinds of explicit and exact traveling wave solutions are acquired, including Jacobian doubly periodic wave solutions, shock wave type solutions and bell wave type Solution. This method not only can obtained many new traveling wave solutions but also is very convenient, so it is worth being more extended.

关 键 词：齐次平衡原则 F-展开法 非线性发展方程 

分 类 号：O175.2[理学—数学]