A list of hodograph transformations and exactly linearizable systems

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Title:	A list of hodograph transformations and exactly linearizable systems
Authors:	Lei,HC;Chang,HW
Contributors:	土木工程研究所
Keywords:	N/A
Date:	1996
Issue Date:	2010-06-29 17:10:47 (UTC+8)
Publisher:	中央大學
Abstract:	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.
Relation:	INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Appears in Collections:	[Graduate Institute of Civil Engineering] journal & Dissertation

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