非线性扰动广义NNV系统的孤立子渐近行波解

史娟荣; 吴钦宽; 莫嘉琪

doi:10.3879/j.issn.1000-0887.2015.09.011

非线性扰动广义NNV系统的孤立子渐近行波解

doi: 10.3879/j.issn.1000-0887.2015.09.011

¹安徽机电职业技术学院, 安徽芜湖 241002;²南京工程学院数理系, 南京 211167;³安徽师范大学数学系, 安徽芜湖 241003;⁴上海交通大学数学系,上海 200240

基金项目: 国家自然科学基金(11202106)

详细信息

作者简介:
史娟荣(1981—), 女，安徽宣城人, 副教授, 硕士（E-mail: ahjdshjr@126.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
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出版历程
- 收稿日期: 2015-03-05
- 修回日期: 2015-06-15
- 刊出日期: 2015-09-15

Asymptotic Travelling Wave Soliton Solutions for Nonlinear Disturbed Generalized NNV Systems

¹Anhui Technical College of Mechanical and Electrical Engineering,Wuhu, Anhui 241002, P.R.China;²Department of Mathematics & Physics, Nanjing Institute of Technology, Nanjing 211167, P.R.China;³Department of Mathematics, Anhui Normal University,Wuhu, Anhui 241003, P.R.China;⁴Department of Mathematics, Shanghai Jiao Tong University,Shanghai 200240, P.R.China

Funds: The National Natural Science Foundation of China(11202106)

摘要

摘要: 采用了一个简单而有效的技巧，研究一类非线性扰动广义NNV(Nizhnik-Novikov-Veselov)系统.首先用待定系数法得到一个相应典型系统的孤立子解.其次构造一个广义泛函式，并对它进行变分计算,利用变分原理求出对应的Lagrange乘子,并由此构造一个特殊的变分迭代关系式.然后依次求出原非线性扰动广义NNV系统的孤立子渐近行波解.最后通过举例,说明了使用该方法得到的近似解具有简单而有效的优点.
- 孤立子 /
- 扰动NNV系统 /
- 迭代方法
Abstract: A class of nonlinear disturbed generalized NNV (NizhnikNovikovVeselov) system was addressed with a simple and valid technique. Firstly, the soliton solution to the corresponding typical differential system was obtained by means of the undetermined coefficient method. Secondly, a generalized functional equation was built and variationally calculated, and the corresponding Lagrange multiplier was derived according to the variation principle. Thereby, a special variational iteration relation expression was constructed. Then, the asymptotic travelling wave soliton solution for the original nonlinear disturbed generalized NNV system was attained successively. Finally, through an example, the proposed approximate analysis method is proved to be convenient and effective.
- soliton /
- disturbed Nizhnik-Novikov-Veselov system /
- iterative method

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参考文献(29)

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非线性扰动广义NNV系统的孤立子渐近行波解

doi: 10.3879/j.issn.1000-0887.2015.09.011

作者简介:
史娟荣(1981—), 女，安徽宣城人, 副教授, 硕士（E-mail: ahjdshjr@126.com）;莫嘉琪(1937—)，男，浙江德清人，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

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Asymptotic Travelling Wave Soliton Solutions for Nonlinear Disturbed Generalized NNV Systems

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留言板

非线性扰动广义NNV系统的孤立子渐近行波解

doi: 10.3879/j.issn.1000-0887.2015.09.011

作者简介: 史娟荣(1981—), 女，安徽宣城人, 副教授, 硕士（E-mail: ahjdshjr@126.com）;莫嘉琪(1937—)，男，浙江德清人，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

计量

出版历程

Asymptotic Travelling Wave Soliton Solutions for Nonlinear Disturbed Generalized NNV Systems

计量

出版历程

目录

作者简介:
史娟荣(1981—), 女，安徽宣城人, 副教授, 硕士（E-mail: ahjdshjr@126.com）;莫嘉琪(1937—)，男，浙江德清人，教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).