Interactional solutions of a lump and a solitary wave for two higher-dimensional equations

被引：21
|
作者：
Sun, Hong-Qian [1 ]
Chen, Ai-Hua [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 94卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fokas equation; Potential YTSF equation; Lump-bell solutions; Lump-kink solution; Asymptotic behavior; (3+1)-DIMENSIONAL JIMBO-MIWA; BACKLUND TRANSFORMATION; MULTISOLITON SOLUTIONS; BOGOYAVLENSKII-SCHIFF; KINK SOLUTIONS; ROGUE WAVE; SOLITONS;
D O I：
10.1007/s11071-018-4454-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, by using the bilinear equation and different test functions, we obtain lump-bell solutions for the (4 + 1)-dimensional Fokas equation, which describe nonelastic and elastic interactions. We consider various interactions of the lump-bell solutions including fusion, fission, catch-up and head-on. The asymptotic behaviors and dynamics of lump-bell solutions are analyzed graphically. With a scaling transformation, we also obtain the lump-kink solution which describes elastic interactions of a lump-and a kink-type wave for the (3 + 1)-dimensional potential Yu-TodaSasa- Fukuyama equation.
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页码：1753 / 1762
页数：10
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