Preliminary Group Classification for One Class of Nonlinear Wave Equations

The group classification is carried out on the nonlinear wave equation utt = f（x,u, ux）uzz ＋ g（x,u,uz） by using the preliminary group classification approach. The generators of equivalence group are determined and the corresponding reduced forms are obtained. The result of the work is shown in table...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 54; no. 8; pp. 229 - 235
Main Author 李吉娜 张颖 张顺利
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2010
Subjects
分类方法
发电机组
非线性波动方程组
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Summary:The group classification is carried out on the nonlinear wave equation utt = f（x,u, ux）uzz ＋ g（x,u,uz） by using the preliminary group classification approach. The generators of equivalence group are determined and the corresponding reduced forms are obtained. The result of the work is shown in table form.
Bibliography:TM621.3
preliminary group classification, optimal system, nonlinear wave equation
O175.29
11-2592/O3
ISSN:0253-6102
DOI:10.1088/0253-6102/54/2/05