(2 + 1)维Hirota-Satsuma-Ito方程的呼吸波与不同非线性波之间的态转换  

State Transformations between the Breather Wave and Different Nonlinear Waves for the (2 + 1)-Dimensional Hirota-Satsuma-Ito Equation

作　　者：张丹丹 

机构地区：[1]华北电力大学数理学院,北京

出　　处：《应用数学进展》2021年第4期1403-1409,共7页Advances in Applied Mathematics

摘　　要：本文基于Hirota双线性方法,研究了(2 + 1)维Hirota-Satsuma-Ito方程。在特定情况下,呼吸波可以转化为其他类型的非线性波,包括W型、M型、振荡W型、振荡M型和准周期型波,并分析了这些非线性波的动力学特性。基于特征线分析,得到了呼吸波与其他非线性波之间的转换条件。研究结果丰富了(2 + 1)维非线性波的动力学特性。In this paper, the (2 + 1)-dimensional Hirota-Satsuma-Ito equation is studied based on the Hirota bilinear method. Under certain circumstances, the breather wave can be transformed into other types of nonlinear waves, including W-type, M-type, oscillating-W-type, oscillating-M-type and quasi-periodic-type waves, and the dynamic characteristics of these nonlinear waves are analyzed. Based on the characteristic line analysis, the conversion condition between the breather wave and other nonlinear waves is obtained. The results enrich the dynamic characteristics of the (2 + 1)-dimensional nonlinear waves.

关 键 词：态转换 (2 + 1)维Hirota-Satsuma-Ito方程 非线性波 双线性方法 

分 类 号：O17[理学—数学]