NDLI: An integrable system of partial differential equations on the special linear group

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An integrable system of partial differential equations on the special linear group

Content Provider	Scilit
Author	Vassiliou, Peter J.
Copyright Year	2002
Description	We give an intrinsic construction of a coupled nonlinear system consisting of two first-order partial differential equations in two dependent and two independent variables which is determined by a hyperbolic structure on the complex special linear group regarded as a real Lie groupG. Despite the fact that the system is not Darboux semi-integrable at first order, the construction of a family of solutions depending.upon two arbitrary functions, each of one variable, is reduced to a system of ordinary differential equations on the 1-jets. The ordinary differential equations in question are of Lie type and associated withG.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/995B706A677A472ED21875285651FC62/S1446181100007938a.pdf/div-class-title-an-integrable-system-of-partial-differential-equations-on-the-special-linear-group-div.pdf
Ending Page	93
Page Count	11
Starting Page	83
ISSN	14461811
e-ISSN	14468735
DOI	10.1017/s1446181100007938
Journal	The ANZIAM Journal
Issue Number	1
Volume Number	44
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2002-07-01
Access Restriction	Open
Subject Keyword	The ANZIAM Journal First Order Partial Differential Equation Special Linear Group Integrable System Lie Group Ordinary Differential Equation Nonlinear System
Content Type	Text
Resource Type	Article
Subject	Mathematics

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