4.5 Article

Two new applications of the homogeneous balance method

期刊

PHYSICS LETTERS A
卷 265, 期 5-6, 页码 353-357

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ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(00)00010-4

关键词

homogeneous balance method; Backlund transformation; similarity reduction; travelling wave solution

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The homogeneous balance method is extended to search for Backlund transformation and similarity reduction of nonlinear partial differential equations. It is shown that there exist close connections among the homogeneous balance method, WTC method and CK direct reduction method. The variant Boussinesq equations are discussed as an illustrative example. Their Backlund transformation, linearization transformation and three types of similarity reductions are obtained. In the meantime, some new travelling wave solutions also are found. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

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