摘要
A large member of lump chain solutions of the(2+1)-dimensional Bogoyavlenskii-Kadomtsev-Petviashvili(BKP)equation are constructed by means of theτ-function in the form of Grammian.The lump chains are formed by periodic arrangement of individual lumps and travel with distinct group and velocities.An analytical method related dominant regions of polygon is developed to analyze the interaction dynamics of the multiple lump chains.The degenerate structures of parallel,superimposed,and molecular lump chains are presented.The interaction solutions between lump chains and kink-solitons are investigated,where the kink-solitons lie on the boundaries of dominant region determined by the constant term in theτ-function.Furthermore,the hybrid solutions consisting of lump chains and individual lumps controlled by the parameter with high rank and depth are investigated.The analytical method presented in this paper can be further extended to other integrable systems to explore complex wave structures.
作者
赵忠龙
和玲超
Abdul-Majid Wazwaz
Zhonglong Zhao;Lingchao He;Abdul-Majid Wazwaz(School of Mathematics,North University of China,Taiyuan 030051,China;College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China;Department of Mathematics,Saint Xavier University,Chicago,IL 60655,USA)
基金
Project supported by the National Natural Science Foundation of China(Grant No.12101572)
the Research Project Supported by Shanxi Scholarship Council of China(Grant No.2020-105)。
