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A Generalized Auxiliary Equation Method for the Quadratic Nonlinear KG Equation

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Abstract:

A generalized auxiliary equation method with symbolic computation is used to construct more general exact solutions of the quadratic nonlinear Klein-Gordon (KG) equation. As a result, new and more general solutions are obtained. It is shown that the generalized auxiliary equation method provides a more powerful mathematical tool for solving nonlinear partial differential equations arising in the fields of nonlinear sciences.

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Periodical:

Applied Mechanics and Materials (Volume 394)

Pages:

571-576

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.394.571

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Online since:

September 2013

Authors:

Sheng Zhang, Bo Xu, Ao Xue Peng

Keywords:

Auxiliary Equation Method, Exact Solution, KG Equation

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