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(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

张诗洁 套格图桑

张诗洁, 套格图桑. (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[J]. 应用数学和力学, 2021, 42(8): 852-858. doi: 10.21656/1000-0887.410387
引用本文: 张诗洁, 套格图桑. (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[J]. 应用数学和力学, 2021, 42(8): 852-858. doi: 10.21656/1000-0887.410387
ZHANG Shijie, TAOGETUSANG. Homoclinic Breathing Wave Solutions and High-Order Rogue Wave Solutions of (3+1)-Dimensional Variable Coefficient Kudryashov-Sinelshchikov Equations[J]. Applied Mathematics and Mechanics, 2021, 42(8): 852-858. doi: 10.21656/1000-0887.410387
Citation: ZHANG Shijie, TAOGETUSANG. Homoclinic Breathing Wave Solutions and High-Order Rogue Wave Solutions of (3+1)-Dimensional Variable Coefficient Kudryashov-Sinelshchikov Equations[J]. Applied Mathematics and Mechanics, 2021, 42(8): 852-858. doi: 10.21656/1000-0887.410387

(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

doi: 10.21656/1000-0887.410387
基金项目: 

国家自然科学基金(11361040)

内蒙古自治区自然科学基金(2020LH01008)

详细信息
    作者简介:

    张诗洁(1996—),女,硕士(E-mail: zhangshijie11111@163.com);套格图桑(1964—),男,教授,博士(通讯作者. E-mail: tgts@imnu.edu.cn).

    通讯作者:

    套格图桑(1964—),男,教授,博士(通讯作者. E-mail: tgts@imnu.edu.cn).

  • 中图分类号: O175.29

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

Funds: 

The National Natural Science Foundation of China(11361040)

  • 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.
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出版历程
  • 收稿日期:  2020-12-17
  • 修回日期:  2021-01-22
  • 网络出版日期:  2021-08-14

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