Various localized nonlinear wave structures in the (2+1)-dimensional KdV system

被引:2
作者
Chen, Jing [1 ]
Liu, Yaqing [2 ]
Piao, Linhua [2 ]
机构
[1] Cent Univ Finance & Econ, Sch Stat & Math, Beijing 100081, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源
MODERN PHYSICS LETTERS B | 2020年 / 34卷 / 13期
基金
北京市自然科学基金; 中国国家自然科学基金;
关键词
N-soliton solution; breather soliton; lump soliton; interaction solutions; LUMP-KINK SOLUTIONS; N-SOLITON SOLUTIONS; RATIONAL SOLUTIONS; RESIDUAL SYMMETRIES; EQUATION; INTEGRABILITY; EVOLUTION;
D O I
10.1142/S0217984920501286
中图分类号
O59 [应用物理学];
学科分类号
摘要
Korteweg-de-Vries (KdV) equation has many applications such as in the description of shallow water waves and ion-acoustic waves in plasmas. In this paper, we investigate the novel nonlinear wave structures in the (2 + 1)-dimensional KdV system. Starting from the N-soliton solution of the (2 + 1)-dimensional KdV system, some new interaction phenomena of line soliton, breather soliton and lump soliton are found based on the Hirota bilinear method and the long wave limit method. The interaction processes of such solutions are shown graphically to display the novel nonlinear structures in this system. These interesting phenomena in this work could be helpful for understanding certain physical phenomena in nonlinear optics and relevant fields.
引用
收藏
页数:19
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