On symmetries, conservation laws, and variational problems for partial differential equations

1994 ◽  
Vol 35 (4) ◽  
pp. 1998-2012 ◽  
Author(s):  
V. Rosenhaus ◽  
Gerald H. Katzin
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
Variational Problems ◽  
Partial Differential

scholarly journals Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-2 ◽  
Author(s):  
Maria Gandarias ◽  
Mariano Torrisi ◽  
Maria Bruzón ◽  
Rita Tracinà ◽  
Chaudry Masood Khalique
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
Symmetry Groups ◽  
Partial Differential ◽  
Recent Advances

scholarly journals Direct construction method for conservation laws of partial differential equations Part II: General treatment

2002 ◽  
Vol 13 (5) ◽  
pp. 567-585 ◽  
Author(s):  
STEPHEN C. ANCO ◽  
GEORGE BLUMAN
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Conservation Laws ◽  
General Treatment ◽  
Local Conservation ◽  
Partial Differential ◽  
Direct Construction ◽  
Computational Implementation ◽  
Direct Construction Method ◽  
General Method

This paper gives a general treatment and proof of the direct conservation law method presented in Part I (see Anco & Bluman [3]). In particular, the treatment here applies to finding the local conservation laws of any system of one or more partial differential equations expressed in a standard Cauchy-Kovalevskaya form. A summary of the general method and its effective computational implementation is also given.

Sign in / Sign up

Export Citation Format

Share Document