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一类非线性非局部扰动LGH方程的孤子行波解

冯依虎 莫嘉琪

冯依虎, 莫嘉琪. 一类非线性非局部扰动LGH方程的孤子行波解[J]. 应用数学和力学, 2016, 37(4): 426-433. doi: 10.3879/j.issn.1000-0887.2016.04.010
引用本文: 冯依虎, 莫嘉琪. 一类非线性非局部扰动LGH方程的孤子行波解[J]. 应用数学和力学, 2016, 37(4): 426-433. doi: 10.3879/j.issn.1000-0887.2016.04.010
FENG Yi-hu, MO Jia-qi. Soliton Travelling Wave Solutions to a Class of Nonlinear Nonlocal Disturbed LGH Equations[J]. Applied Mathematics and Mechanics, 2016, 37(4): 426-433. doi: 10.3879/j.issn.1000-0887.2016.04.010
Citation: FENG Yi-hu, MO Jia-qi. Soliton Travelling Wave Solutions to a Class of Nonlinear Nonlocal Disturbed LGH Equations[J]. Applied Mathematics and Mechanics, 2016, 37(4): 426-433. doi: 10.3879/j.issn.1000-0887.2016.04.010

一类非线性非局部扰动LGH方程的孤子行波解

doi: 10.3879/j.issn.1000-0887.2016.04.010
基金项目: 国家自然科学基金(40676016);安徽省教育厅自然科学基金(KJ2015A347);安徽省高校优秀青年人才支持重点项目(gxyqZD2016520)
详细信息
    作者简介:

    冯依虎(1982—),男,副教授,硕士(E-mail: fengyihubzsz@163.com);莫嘉琪(1937—),男,教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

  • 中图分类号: O175.29

Soliton Travelling Wave Solutions to a Class of Nonlinear Nonlocal Disturbed LGH Equations

Funds: The National Natural Science Foundation of China(40676016)
  • 摘要: 利用经过改进的泛函分析变分迭代方法讨论了一类非线性非局部Landau-Ginzburg-Higgs(LGH)微分方程.首先,做行波变换, 引入泛函,并求出其变分,令其为0,得到了Lagrange(拉格朗日)算子应满足的条件,并求出它.然后, 引入一个经过改进的变分迭代式, 选取初始迭代函数为对应的无扰动LGH方程的孤子解.最后, 利用迭代式依次得到非线性非局部LGH扰动方程求出各次孤子行波的渐近解和LGH扰动方程的精确解.通过一个例子说明了用经过改进的泛函分析变分迭代方法得到求解是有效的方法.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2015-08-12
  • 修回日期:  2015-10-16
  • 刊出日期:  2016-04-15

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