Some discussions about the variable separating method for solving nonlinear models

doi:10.1088/1674-1056/19/5/050204

Abstract Through analysing the exact solution of some nonlinear models, the role of the variable separating method in solving nonlinear equations is discussed. We find that rich solution structures of some special fields of these equations come from the nonzero seed solution. However, these nonzero seed solutions is likely to result in the divergent phenomena for the other field component of the same equation. The convergence and the signification of all field components should be discussed when someone solves the nonlinear equation using the variable separating method.

Keywords: variable separating method nonzero seed solution nonlinear equation

Received: 07 July 2009
Revised: 15 December 2009
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10675065, 90503006 and 10735030) and the K.C.Wong Magna Fund in Ningbo University.

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Ruan Hang-Yu(阮航宇) Some discussions about the variable separating method for solving nonlinear models 2010 Chin. Phys. B 19 050204

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Some discussions about the variable separating method for solving nonlinear models

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