(2+1)维Sawada-Kotera方程的精确孤立波和周期孤立波解  

Exact Solitary Wave and Periodic Solitary Wave Solutions for the (2+1)-dimensional Sawada-Kotera Equation

作　　者：刘常福[1] 

机构地区：[1]文山学院数理系,云南文山663000

出　　处：《文山学院学报》2010年第1期110-113,共4页Journal of Wenshan University

基　　金：文山学院科研基金项目"多维光弧子的解析解及相互作用探索"(09WSY04)

摘　　要：文章扩展Hirota双线性法,引用新的函数结构,找到(2+1)维Sawada-Kotera方程的系列精确孤立波和周期孤立波解,这些结果,有助于对非线性波在高维空间的动力学性质的了解,尤其有助于对高维模型中的局域结构,相互作用是否与一维系统有着本质差别的探究。In this paper, some exact solitary wave and periodic solitary wave solutions for the （2 ＋ 1 ） -dimen-ional Sawada-Kotera equation axe obtained by using extended Hirota bilinear method and introducing a new function. These results help us to understand the nonlinear wave dynamics in high-dimensional space. In particular, they help us to investigate the local structure and the interaction in the high-dimensional models which whether there axe essential differences with those of one-dimensional systems.

关 键 词：(2+1)维Sawada—Kotera方程 扩展Hirota双线性法 孤立波 周期孤立波 

分 类 号：O175.29[理学—数学]