Approximate symmetries and solutions of the hyperbolic heat equation

作者：Diatta B; Soh C Wafo^*; Khalique C M

来源：Applied Mathematics and Computation, 2008, 205(1): 263-272.

DOI：10.1016/j.amc.2008.06.060

• Hyperbolic heat equation
• Approximate symmetries
• Optimal systems
• Non-similar subalgebras
• Approximate invariant solutions

We perform an approximate symmetry classification of the hyperbolic heat equation with variable parameters. It is found that its approximate symmetry Lie algebra is infinite-dimensional. We obtain optimal systems of one-dimensional subalgebras of some finite-dimensional subalgebras of the approximate symmetry Lie algebra. These optimal systems are employed to construct approximate invariant solutions. Published by Elsevier Inc.

• 出版日期2008-11-1
• 单位西北大学