Extrapolation applied to the method of characteristics for a first order system of two partial differential equations

1975 ◽  
Vol 24 (4) ◽  
pp. 331-353 ◽  
Author(s):  
W. Busch ◽  
R. Esser ◽  
W. Hackbusch ◽  
U. Herrmann
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Method Of Characteristics ◽  
Order System ◽  
Partial Differential ◽  
First Order ◽  
The Method Of Characteristics

scholarly journals POLYNOMIAL FIRST INTEGRALS FOR THE CHEN AND LÜ SYSTEMS

2012 ◽  
Vol 22 (11) ◽  
pp. 1250262 ◽  
Author(s):  
JAUME LLIBRE ◽  
CLAUDIA VALLS
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Method Of Characteristics ◽  
First Integrals ◽  
Homogeneous Polynomials ◽  
Partial Differential ◽  
The Method Of Characteristics

We characterize all the values of the parameters for which the Chen and Lü systems have polynomial first integrals by using weight homogeneous polynomials and the method of characteristics for solving partial differential equations. We improve previous results which were not complete.

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