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(2+1)维bidirectional Sawada-Kotera方程的共振多波解和complexiton解
张永丽, 哈金婷, 张辉群
青岛大学 数学与统计学院, 山东 青岛 266071
摘要:
利用线性叠加原则研究了(2+1)维bidirectional Sawada-Kotera (bSK)方程的双线性形式,分别构造了(2+1)维bidirectional Sawada-Kotera方程的共振多波解和complexiton解.特别地,得到了方程的正complexiton解.此外,利用图像展示了解的一些动力学特征.
关键词:  (2+1)维bidirectional Sawada-Kotera (bSK)方程  线性叠加原则  共振多波解  complexiton解
DOI:10.3969/J.ISSN.1000-5137.2020.03.004
分类号:O29
基金项目:
Resonant multiple wave solutions and complexiton solutions to the (2+1)-dimensional bidirectional Sawada-Kotera equation
ZHANG Yongli, HA Jinting, ZHANG Huiqun
Department of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
Abstract:
In this paper, the linear superposition principle is used to investigate the bilinear form of the (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation. The resonant multiple wave solutions and complexiton solutions to the (2+1)-dimensional bidirectional Sawada-Kotera equation are constructed respectively. Especially, the positive complexiton solutions are derived. In addition, a few of analyses and three dimensional plots of complexiton solutions are made to show the dynamical features in detail.
Key words:  (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation  linear superposition principle  resonant multiple wave solutions  complexiton solutions