The rational and semi-rational solutions to the Hirota Maccari system

被引：18

作者：

Wang, Rui ^{[1
]}

Zhang, Yi ^{[1
]}

Chen, Xiao-tong ^{[1
]}

Ye, Ru-suo ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

NONLINEAR DYNAMICS | 2020年 / 100卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hirota Maccari system; Semi-rational solutions; Bilinear method; Lumps and line solitons; Modulation instability; NONLINEAR SCHRODINGER-EQUATIONS; ORDER ROGUE WAVES; SEMIRATIONAL SOLUTIONS; EXPANSION METHOD; SOLITON; LUMPS;

D O I：

10.1007/s11071-020-05624-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, based on the KP hierarchy reduction method, we get the concrete form of semi-rational solutions to the Hirota-Maccari (HM) system. The semi-rational solutions describe a variety of solution types, such as lumps, breathers and line solitons. In addition, we simplify the representation of the higher-order semi-rational solutions of the HM equation and focus on the lump classification as well as the dynamics of mixed solutions about lumps and line solitons. Simultaneously, the modulation instability of the HM equation is also analyzed. The kinetics of semi-rational solutions for the HM system are subsequently discussed.

引用

页码：2767 / 2778

页数：12

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