47 citations · 85 across the 9 of their papers we have counts for
9 papers
The natural extension to PDEs of Lie's reduction of order algorithm for ODEs
George W. Bluman, Rafael de la Rosa
In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-bas…
Some connections between classical and nonclassical symmetries of a partial differential equation and their applications
Chaolu Temuer, Laga Tong, George Bluman
Some connections between classical and nonclassical symmetries of a partial differential equation (PDE) are given in terms of determining equations of the two symmetries. These con…
A Symmetry-Based Method for Constructing Nonlocally Related PDE Systems
George W. Bluman, Zhengzheng Yang
Nonlocally related partial differential equation (PDE) systems are useful in the analysis of a given PDE system. It is known that each local conservation law of a given PDE system…
Conservative parameterization schemes
Alexander Bihlo, George Bluman
Parameterization (closure) schemes in numerical weather and climate prediction models account for the effects of physical processes that cannot be resolved explicitly by these mode…
A New Method For Integrating Ordinary Differential Equations
George Bluman, Raouf Dridi
This paper has been withdrawn.
Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws
Stephen C. Anco, George Bluman, Thomas Wolf
An algorithmic method using conservation law multipliers is introduced that yields necessary and sufficient conditions to find invertible mappings of a given nonlinear PDE to some…