A list of hodograph transformations and exactly linearizable systems

Hin Chi Lei, Huei Wen Chang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish
Pages (from-to)117-127
Number of pages11
JournalInternational Journal of Non-Linear Mechanics
Volume31
Issue number2
DOIs
StatePublished - Mar 1996

Keywords

  • Exactly linearizable systems
  • Hodograph transformations

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