(2+1)维Sawada-Kotera方程的complexiton解  

Complexiton Solutions for(2+1)-dimensional Sawada-Kotera Equation

作　　者：张永丽 孙艳芳 张辉群 ZHANG Yongli;SUN Yanfang;ZHANG Huiqun(School of Mathematics&Statistics,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学数学与统计学院,山东青岛266071

出　　处：《河南科技大学学报（自然科学版）》2020年第5期88-92,98,M0007,M0008,共8页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学青年基金项目(11701334)。

摘　　要：基于(2+1)维Sawada-Kotera方程的Hirota双线性形式,利用线性叠加原则得到了该方程的共振多波解。利用共振多波解的线性叠加性,将共振多波解推广到复值共振多波解,从而构造了该方程的正complexiton解,并且分析了正complexiton解的动力学特点。Based on the Hirota bilinear form of(2+1)-dimensional Sawada-Kotera equation,the resonant multiple wave solutions of the equation were obtained by using linear superposition principle.By using the linear superposition property of the resonant multiple wave solutions,the resonant multiple wave solutions were extended to resonant multiple wave solutions of complex values.Thereby the positive complexiton solutions of the equation were constructed,and the dynamics characteristics of the positive complexiton solutions were analyzed.

关 键 词：(2+1)维Sawada-Kotera方程 Hirota双线性形式 共振多波解 正complexiton解 线性叠加原则 

分 类 号：O175.29[理学—数学]