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

1.
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
计量
- 文章访问数: 1538
- HTML全文浏览量: 118
- PDF下载量: 1018
- 被引次数: 0
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

1.
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

HTML全文

参考文献(21)

[1]	马松华, 强继业, 方建平. 2+1维Boiti-Leon-Pempinelli系统的混沌行为及孤子间的相互作用[J]. 物理学报, 2007, 56(2): 620-626.
[2]	MA Song-hua, QIANG Ji-ye, FANG Jian-ping. Annihilation solitons and chaotic solitons for the (2+1)-dimensional breaking soliton system[J]. Commun Theor Phys, 2007, 48(4): 662-666. doi: 10.1088/0253-6102/48/4/019
[3]	Loutsenko I. The variable coefficient Hele-Shaw problem, integrability and quadrature identities[J]. Comm Math Phys, 2006, 268(2): 465-479. doi: 10.1007/s00220-006-0099-9
[4]	Gedalin M. Low-frequency nonlinear stationary waves and fast shocks: hydrodynamical description[J]. Phys Plasmas, 1998, 5(1): 127-132. doi: 10.1063/1.872681
[5]	Parkes E J. Some periodic and solitary travelling-wave solutions of the short-pulse equation[J]. Chaos Solitons Fractals, 2008, 38(1): 154-159. doi: 10.1016/j.chaos.2006.10.055
[6]	李向正，李修勇，赵丽英，张金良. Gerdjikov-Ivanov方程的精确解[J]. 物理学报， 2008, 57(4): 2231-2234.
[7]	WANG Ming-liang. Solitary wave solutions for variant Boussinesq equations[J]. Phys Lett A,1995, 199(3/4): 169-172. doi: 10.1016/0375-9601(95)00092-H
[8]	Sirendaoreji, JIONG Sun. Auxiliary equation method for solving nonlinear partial differential equations[J]. Phys Lett A, 2003, 309(5): 387-396. doi: 10.1016/S0375-9601(03)00196-8
[9]	McPhaden M J, Zhang D. Slowdown of the meridional overturning circulation in the upper Pacific ocean[J]. Nature, 2002, 415(3): 603-608. doi: 10.1038/415603a
[10]	GU Dai-fang, Philander S G H. Interdecadal climate fluctuations that depend on exchanges between the tropics and extratropics[J]. Science, 1997, 275(7): 805-807. doi: 10.1126/science.275.5301.805
[11]	潘留仙，左伟明，颜家壬. Landau-Ginzburg-Higgs方程的微扰理论[J]. 物理学报, 2005, 54(1): 1-5.
[12]	NI Wei-ming, WEI Jun-cheng. On positive solution concentrating on spheres for the Gierer-Meinhardt system[J]. J Differ Equations，2006, 221(1): 158-189. doi: 10.1016/j.jde.2005.03.004
[13]	Bartier Jean-Philippe. Global behavior of solutions of a reaction-diffusion equation with gradient absorption in unbounded domains[J]. Asymptotic Anal, 2006, 46(3/4): 325-347.
[14]	Libre J, da Silva P R, Teixeira M A. Regularization of discontinuous vector fields on R3 via singular perturbation[J]. J Dyn Differ Equations, 2007, 19(2): 309-331. doi: 10.1007/s10884-006-9057-7
[15]	Guarguaglini F R, Natalini R. Fast reaction limit and large time behavior of solutions to a nonlinear model of sulphation phenomena[J]. Commun Partial Differ Equations, 2007, 32(2): 163-189. doi: 10.1080/03605300500361438
[16]	MO Jia-qi. Approximate solution of homotopic mapping to solitary for generalized nonlinear KdV system[J]. Chin Phys Lett, 2009, 26(1): 010204. doi: 10.1088/0256-307X/26/1/010204
[17]	Liao S J. Beyond Perturbation: Introduction to the Homotopy Analysis Method[M]. New York: CRC Press Co, 2004.
[18]	Zheng X, Zhang H Q. Backlund transformation and exact solutions for (2+1)-dimensional Boussinesq equation[J].Acta Phys Sin, 2005, 54(3): 1476-1480.
[19]	MA Song-hua, FANG Jian-ping, ZHENG Chun-long. Complex wave exitations and chaotic patterns for a general (2+1)-dimensional Korteweg-de Vries system[J]. Chin Phys, 2008, 17(8):2767-2773. doi: 10.1088/1674-1056/17/8/004
[20]	Liu S K, Fu Z T, Liu S D, Zhao Q. Expansion method about the Jacobi elliptic function and its applications to nonlinear wave equations[J]. Acta Phys Sin, 2001, 50(11): 2068-2073.
[21]	de Jager E M, JIANG Fu-ru. The Theory of Singular Perturbation[M]. Amsterdam: North-Holland Publishing Co, 1996.