|
|||||
|
|
Approximate conservation laws of nonlinear perturbed heat and wave equations |
|
| Authors: | Ashfaque H Bokhari AG Johnpillai FM Mahomed FD Zaman |
| Institution: | 1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia;2. Department of Mathematics, Eastern University, Sri Lanka;3. School of Computational and Applied Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050, South Africa |
| Abstract: | We construct approximate conservation laws for non-variational nonlinear perturbed (1+1) heat and wave equations by utilizing the partial Lagrangian approach. These perturbed nonlinear heat and wave equations arise in a number of important applications which are reviewed. Approximate symmetries of these have been obtained in the literature. Approximate partial Noether operators associated with a partial Lagrangian of the underlying perturbed heat and wave equations are derived herein. These approximate partial Noether operators are then used via the approximate version of the partial Noether theorem in the construction of approximate conservation laws of the underlying perturbed heat and wave equations. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |