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Research PapersNo Access

A MODIFIED SYMMETRY REDUCTION METHOD AND ITS APPLICATION IN NONLINEAR VARIABLE COEFFICIENT EVOLUTION EQUATION(S)

School of Communication, Shandong Normal University, Jinan 250014, China

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School of Physics Science and Information Engineering, Liaocheng University, Shandong 252059, China

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School of Physics Science and Information Engineering, Liaocheng University, Shandong 252059, China

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School of Physics Science and Information Engineering, Liaocheng University, Shandong 252059, China

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https://doi.org/10.1142/S0217979209052662Cited by:1 (Source: Crossref)

Abstract

Based on the one-parameter Lie group theory, we established a modified symmetry reduction method in solving nonlinear variable coefficient equations. Our study shows that the modified method can be applied in solving or reducing various nonlinear variable coefficient equations. In our initial applications, we have successfully obtained some exact solutions to the equations of nonlinear variable coefficients KdV and KP.

Keywords:

PACS: 05.45.Yv, 02.20.-a, 02.30.Jr

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Vol. 23, No. 18

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Received 24 July 2008

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