摘要
利用推广的齐次平衡方法 ,研究高阶 (2 + 1)维Broer_Kaup方程的局域相干结构· 首先基于推广的齐次平衡方法 ,给出这个模型的一个非线性变换 ,并把它变换成一个线性化的方程· 然后从线性化方程出发 ,构造出一个分离变量的拟解· 由于拟解中不仅含有两个 y的任意函数 ,而且还有 αi,βi,γk,kj,lk 和N ,M ,L这些参数可以任意选取 ,因此合适的选择这些函数和参数 ,可以得到新的相当丰富的孤子结构· 方法直接而简单 ,可推广应用一大类 (2 + 1)维非线性物理模·
By using the extended homogeneous balance method, the localized cohernet structures are studied. A nonlinear transformation was first established, and then the linearization form was obtained based on the extended homogeneous balance method for the higher order (2+1)_dimensional Broer_Kaup equations. Starting from this linearization form equation, a variable separation solution with the entrance of some arbitrary functions and some arbitrary parameters was constructed. The quite rich localized coherent structures were revealed. This method, which can be generalized to other (2+1)_dimensional nonlinear evolution equation, is simple and powerful.
出处
《应用数学和力学》
CSCD
北大核心
2002年第5期489-496,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (19872 0 4 3)
