Approximate solution for the Klein－Gordon－Schr?dinger equation by the homotopy analysis method

doi:10.1088/1674-1056/19/3/030401

Abstract The Homotopy analysis method is applied to obtain the approximate solution of the Klein--Gordon--Schr?dinger equation. The Homotopy analysis solutions of the Klein--Gordon--Schr?dinger equation contain an auxiliary parameter which provides a convenient way to control the convergence region and rate of the series solutions. Through errors analysis and numerical simulation, we can see the approximate solution is very close to the exact solution.

Keywords: Klein--Gordon--Schr?dinger equation homotopy analysis method approximate solution

Received: 03 June 2009
Revised: 24 July 2009
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10735030), National Basic Research Program of China (Grant No.~2007CB814800), Ningbo Natural Science Foundation (Grant No.~2008A610017) and K.C. Wong Magna Fund in Ningbo University.

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Wang Jia(王佳), Li Biao(李彪), and Ye Wang-Chuan(叶望川) Approximate solution for the Klein－Gordon－Schr?dinger equation by the homotopy analysis method 2010 Chin. Phys. B 19 030401

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Approximate solution for the Klein－Gordon－Schr?dinger equation by the homotopy analysis method

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