(2+1)维Sawada-Kotera方程的黎曼theta函数周期波解及渐近性质  

Periodic Wave Solutions and Asymptotic Properties of Riemann Theta Functions for(2+1)-dimensional Sawada-Kotera Equation

作　　者：房春梅 FANG Chunmei(Department of Mathematics and Statistics,Jining Normal University,Ulanqab 012000,China)

机构地区：[1]集宁师范学院数学与统计学院,内蒙古乌兰察布012000

出　　处：《湖北民族大学学报（自然科学版）》2021年第4期439-445,共7页Journal of Hubei Minzu University:Natural Science Edition

基　　金：国家自然科学基金项目(11975306);内蒙古自治区高等学校科学研究项目(NJZY20248).

摘　　要：利用Hirota双线性方法和Bell多项式,得到了(2+1)维SK方程的双线性表示式和N-阶孤立波解.将双线性形式与黎曼theta函数相结合,得到了(2+1)维SK方程的周期波解及其渐近性质,结果表明在极限情况下,黎曼theta函数周期波解退化为孤子解.In this paper,the bilinear expression and N-order solitary wave solutions of(2+1)dimensional SK equation are obtained by using Hirota bilinear method and Bell polynomials.The periodic wave solutions and its asymptotic properties of(2+1)dimensional SK equation are obtained by combining bilinear form with Riemann theta functions.The results show that in the limit case,the periodic wave solutions of Riemann theta function degenerate into soliton solutions.

关 键 词：(2+1)维SK方程 黎曼theta函数周期波解 渐近性质 孤波解 

分 类 号：O175.29[理学—数学]