A list of hodograph transformations and exactly linearizable systems

Hin Chi Lei, Huei Wen Chang

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

摘要

In this paper different kinds of hodograph transformations are studied. The transformations interchange the roles of a different number of dependent and independent variables in systems of non-linear first-order partial differential equations. It is found that these hodograph transformations can be applied to linearize both genuinely non-linear systems and quasi-linear systems with more than two dependent variables and two independent variables. It is also found that these hodograph transformations can linearize quasi-linear systems which are non-homogeneous in the derivatives. The hodograph transformations derived are applied to linearize equations encountered in soil and fluid mechanics.

原文???core.languages.en_GB???
頁(從 - 到)117-127
頁數11
期刊International Journal of Non-Linear Mechanics
31
發行號2
DOIs
出版狀態已出版 - 3月 1996

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