摘要
We focus on the localized characteristics of lump and interaction solutions to two extended Jimbo–Miwa equations.Based on the Hirota bilinear method and the test function method,we construct the exact solutions to the extended equations including lump solutions,lump–kink solutions,and two other types of interaction solutions,by solving the underdetermined nonlinear system of algebraic equations for associated parameters.Finally,analysis and graphical simulation are presented to show the dynamical characteristics of our solutions and the interaction behaviors are revealed.
作者
尹宇航
陈思佳
吕兴
Yu-Hang Yin;Si-Jia Chen;Xing Lü(Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China;Beijing Laboratory of National Economic Security Early-warning Engineering,Beijing Jiaotong University,Beijing 100044,China)
基金
Project supported by the Fundamental Research Funds for the Central Universities of China(Grant No.2018RC031)
the National Natural Science Foundation of China(Grant No.71971015)
the Program of the Co-Construction with Beijing Municipal Commission of Education of China(Grant Nos.B19H100010and B18H100040)
the Open Fund of IPOC(BUPT)。
