![](/images/graphics-bg.png)
Construction Solutions of PDE in Parametric Form
Joint Authors
Volosov, Konstantin Alexandrovich
Volosova, Alexandra K.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-28
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The new important property of wide class PDE was found solely by K.
A.
Volosov.
We make an arbitrary replacement of variables.
In the case of two independent variables x,t, then it always gives the possibility of expressing all PDE second and more order as AX=b.
This is a linear algebraic equations system with regards derivatives to old variables x(ξ,δ), t(ξ,δ) on new variables ξ,δ:(xξ',xδ',tξ',tδ').
This system has the unique solution.
In the case of three and more independent variables x,y,t,…, then it gives the possibility of expressing PDE second order as AX=b, if we do same compliment proposes.
In the present paper, we suggest a new method for constructing closed formulas for exact solutions of PDE, then support on this important new property.
American Psychological Association (APA)
Volosova, Alexandra K.& Volosov, Konstantin Alexandrovich. 2009. Construction Solutions of PDE in Parametric Form. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-463166
Modern Language Association (MLA)
Volosova, Alexandra K.& Volosov, Konstantin Alexandrovich. Construction Solutions of PDE in Parametric Form. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-463166
American Medical Association (AMA)
Volosova, Alexandra K.& Volosov, Konstantin Alexandrovich. Construction Solutions of PDE in Parametric Form. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-463166
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463166