(2+1)维Caudrey-Dodd-Gibbon-Kotera-Sawada方程的混合波解  

Characteristics of Kink-Breather-Lump Wave in the(2+1)-Dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada Equation

作　　者：孙海莹 扎其劳[1,2] SUN Hai-ying;Zhaqilao(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China;Inner Mongolia Center of Applied Mathematics,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]内蒙古自治区应用数学中心,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学版）》2022年第6期559-567,共9页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11861050,11261037);内蒙古自治区自然科学基金资助项目(2020LH01010);内蒙古自治区研究生科研创新基金资助项目(CXJJS21119);内蒙古师范大学研究生科研创新基金资助项目(CXJJS21119)。

摘　　要：基于Hirota双线性方程和长波极限法,推导出Caudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)方程的N-kink解、L-呼吸子解和K-lump解。通过构造合适的辅助函数,得到上述三种解的混合波解。讨论参数的取值,对所得混合波解进行分类,并利用图形展示混合波的相互作用情形。Based on the Hirota bilinear equation and the long-wave limit approach,kink solutions,breather solutions and lump solutions of a(2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)equation are derived in the paper.By constructing appropriate auxiliary functions,we obtain a large number of mixed solutions of the above three solutions.We also discuss the determination of the parameters,classify the mixed solutions obtained and illustrate the interaction among kink solution,breather solution and lump solution by some figures.

关 键 词：kink-呼吸子-lump解 Hirota双线性形式 长波极限法 (2+1)维CDGKS方程 

分 类 号：O175.29[理学—数学]