一个广义扰动Klein-Gordon方程孤子解

莫嘉琪

doi:10.3879/j.issn.1000-0887.2010.12.009

一个广义扰动Klein-Gordon方程孤子解

doi: 10.3879/j.issn.1000-0887.2010.12.009

莫嘉琪^1,2

安徽师范大学数学系,安徽芜湖 241003;2.上海高校计算科学E-研究院 SJTU研究所, 上海 200240

基金项目: 国家自然科学基金资助项目(40876010);中国科学院知识创新工程重要方向资助项目(KZCX2-YW-Q03-08);公益性行业(气象)科研专项基金资助项目(GYHY200806010);LASG国家重点实验室专项经费资助项目;上海市教育委员会E-研究院建设计划资助项目(E03004)

详细信息

作者简介:
莫嘉琪(1937- ),男,浙江德清人,教授(Tel:+86-553-3869642;E-mail:mojiaq@imai.lahnu.edu.cn).

中图分类号: O175.29
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-10-30
- 刊出日期: 2010-12-15

Soliton Solution to Nonlinear Generalized Disturbed Klein-Gordon Equation

MO Jia-qi^1,2

Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241003, P. R. China;

摘要

摘要: 研究了一个广义非线性扰动Klein-Gordon方程．利用同伦映射方法,首先构造了相应的同伦映射；然后选取了适当的初始近似；并计算各阶相应孤子近似解．同时还考虑了一个微扰方程．
- Klein-Gordon方程 /
- 非线性 /
- 孤子 /
- 近似方法
Abstract: Ageneralized nonlinear disturbed Klein-Gordon equation was considered.By using the homotopic mapping method,firstly,the corresponding homotopic mapping was constructed.Then the suitable in itial approx miation was selected,and the arbitrary order approx imate solution of the soliton was calculated.At one time,a weakly disturbed equation was studied.
- nonlinear /
- Klein-Gordon equation /
- soliton /
- approx imate method

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参考文献(21)

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