摘要
基于Hirota双线性方法,求得一类potential Kadomtsev-Petviashvili(pKP)方程的有理解,并对该解作出了证明,进而求得方程的lump解、高阶lump解和多lump解,同时通过图像展现了两种lump波的不同碰撞方式,分析了多个lump波碰撞的动力学性质。
The rational solutions are obtained and proved for a class of potential Kadomtsev-Petviashvili(pKP) equations by the Hirota bilinear method.The lump solution,high-order-lump solution,and multi-lump solution are obtained and proved.The different collision modes of the two types of lump waves are shown by images and the dynamics of multiple lump wave collisions is analyzed.
作者
董蕙
庞晶
尹天乐
DONG Hui;PANG Jing;YIN Tianle(College of Science,Inner Mongolia University of Technology,Hohhot 010051,China;Inner Mongolia Key Laboratory of Theory on Statistical Analysis of Life Data and Neural Network Modeling,Inner Mongolia University of Technology,Hohhot 010051,China)
出处
《内蒙古工业大学学报（自然科学版）》
2024年第6期481-488,共8页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
国家自然科学基金项目(10561151)
内蒙古自治区直属高校基本科研业务费项目(JY20220003,ZTY2023008)。
