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高维弱扰动破裂孤子波方程行波解

张良 林万涛 陈贤峰 莫嘉琪

张良, 林万涛, 陈贤峰, 莫嘉琪. 高维弱扰动破裂孤子波方程行波解[J]. 应用数学和力学, 2015, 36(11): 1204-1210. doi: 10.3879/j.issn.1000-0887.2015.11.008
引用本文: 张良, 林万涛, 陈贤峰, 莫嘉琪. 高维弱扰动破裂孤子波方程行波解[J]. 应用数学和力学, 2015, 36(11): 1204-1210. doi: 10.3879/j.issn.1000-0887.2015.11.008
ZHANG Liang, LIN Wan-tao, CHEN Xian-feng, MO Jia-qi. Travelling Solutions to High-Dimensional Weakly Perturbed Breaking Soliton Wave Equations[J]. Applied Mathematics and Mechanics, 2015, 36(11): 1204-1210. doi: 10.3879/j.issn.1000-0887.2015.11.008
Citation: ZHANG Liang, LIN Wan-tao, CHEN Xian-feng, MO Jia-qi. Travelling Solutions to High-Dimensional Weakly Perturbed Breaking Soliton Wave Equations[J]. Applied Mathematics and Mechanics, 2015, 36(11): 1204-1210. doi: 10.3879/j.issn.1000-0887.2015.11.008

高维弱扰动破裂孤子波方程行波解

doi: 10.3879/j.issn.1000-0887.2015.11.008
基金项目: 国家自然科学基金(41275062;11371248);安徽省教育厅自然科学课题(KJ2015A347;KJ2013B153)
详细信息
    作者简介:

    张良(1962—),男, 安徽蒙城人, 副教授, 硕士(E-mail: bzszzhangl@163.com);莫嘉琪(1937—),男,浙江德清人,教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

  • 中图分类号: O175.29

Travelling Solutions to High-Dimensional Weakly Perturbed Breaking Soliton Wave Equations

Funds: The National Natural Science Foundation of China(41275062;11371248)
  • 摘要: 研究了一类高维弱扰动破裂孤子波方程.首先讨论了对应的典型破裂孤子波方程, 利用待定系数投射方法得到了孤子波精确解.再利用泛函分析和摄动理论得到了原弱扰动破裂孤子波方程的孤子行波渐近解.最后, 举出例子说明了用该方法得到的弱扰动破裂孤子波方程的行波渐近解具有简捷、有效和较高精度的优点.
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出版历程
  • 收稿日期:  2015-06-15
  • 修回日期:  2015-07-10
  • 刊出日期:  2015-11-15

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