Title 



Canonical reduction of selfdual YangMills theory to Burgers, sineGordon, generalized KdV, Liouville's equations and exact solutions
 
Author 



 
Abstract 



The (constrained) canonical reduction of fourdimensional selfdual YangMills theory to Burgers' type, twodimensional sineGordon, generalized Kortewegde Vriestype, (2+1.) and the original (3+1)dimensional Liouville equations are considered. On the one hand, the Backlund transformations are implemented to obtain several classes of exact solutions for the reduced Burgerstype and twodimensional sineGordon equations. On the other hand, other methods and transformations are developed to obtain exact solutions for the original twodimensional generalized Kortewegde Vriestype, (2+1) and the original (3+1)dimensional Lionville equations. The corresponding gauge potential A(mu v) and the gauge field strengths Fmu v are also obtained.   
Language 



English
 
Source (journal) 



Il Nuovo cimento della società italiana di fisica : B: General physics, relativity, astronomy and mathematical physics and methods.  , 1985  2008  




RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS  
Publication 



2005
 
ISSN 



15949982 [print]
18269877 [online]
 
Volume/pages 



120:2(2005), p. 147163
 
ISI 



000231781000003
 
Full text (Publisher's DOI) 


  
