一个形变Boussinesq型方程的怪波、呼吸波和孤子解  

Rogue Waves,Breather Waves and Soliton Solutions for a Deformed Boussinesq-Type Equation

作　　者：何国亮 郑真真 徐涛 HE Guo-liang;ZHENG Zhen-zhen;XU Tao(College of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China)

机构地区：[1]郑州轻工业大学数学与信息科学学院,河南郑州450002

出　　处：《数学的实践与认识》2021年第10期224-232,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11871232);河南省自然科学基金(212300410417);河南省高等学校青年骨干教师培养计划项目。

摘　　要：借助于Hirota双线性方法和拓展的同宿试验函数法,通过构造测试函数,给出一个形变Boussinesq型方程的一些精确解.运用同宿呼吸子极限法,构造了方程的同宿呼吸波解和怪波解,同时借助于双线性方法给出了方程的不同形式的孤立子解.最后,详细讨论了同宿呼吸波、怪波和孤子解的动力学性质.In this paper,some exact solutions to a deformed Boussinesq-type equation are investigated by constructing the test function in view of the extended homoclinic test method and Hirota bilinear method.The homoclinic breather wave and rogue wave of this equation are constructed through the homoclinic breather limit method.In addition,various soliton solutions are given by the Hirota bilinear method.In the end,the dynamics of the homoclinic breather wave,rogue wave and solitons are discussed in detail.

关 键 词：同宿呼吸子极限法 双线性方法 怪波 呼吸波 孤子 

分 类 号：O175[理学—数学]