(3+1)维变系数Kudryashov⁃Sinelshchikov(K⁃S)方程的同宿呼吸波解和高阶怪波解  

Homoclinic Breathing Wave Solutions and High⁃Order Rogue Wave Solutions of(3+1)⁃Dimensional Variable Coefficient Kudryashov⁃Sinelshchikov Equations

作　　者：张诗洁 套格图桑[1] ZHANG Shijie;TAOGETUSANG(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,P.R.China)

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《应用数学和力学》2021年第8期852-858,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11361040);内蒙古自治区自然科学基金(2020LH01008);内蒙古师范大学研究生科研创新基金(CXJJS20089)对本文的资助.

摘　　要：基于Hirota双线性方法,利用拓展的同宿呼吸检验法得到了(3+1)维变系数Kudryashov⁃Sinelshchikov(K⁃S)方程的同宿呼吸波解,对该解的参数选取合适的数值,可得到不同结构的同宿呼吸波.通过对同宿呼吸波解的周期取极限,推导出方程的怪波解.最后,构造出一个特殊的高阶多项式作为测试函数,求得该方程的一阶怪波解和二阶怪波解.Based on the Hirota bilinear method,the homoclinic breathing wave solutions to the(3+1)⁃dimen⁃sional variable coefficient Kudryashov⁃Sinelshchikov(K⁃S)equations were obtained by means of the extended homoclinic breathing test method.Homoclinic breathing waves with different structures were given through se⁃lection of appropriate values for the parameters of the solution,and the rogue wave solutions to the equation were derived under the limit of the periodicity of the homoclinic breathing wave solutions.Finally,a special high⁃order polynomial was constructed as a test function to obtain the 1st⁃order and the 2nd⁃order rogue wave solutions.

关 键 词：(3+1)维变系数Kudryashov⁃Sinelshchikov(K⁃S)方程 HIROTA双线性方法 呼吸解 怪波解 

分 类 号：O175.29[理学—数学]