Approximate conservation laws of nonlinear perturbed heat and wave equations

作者：Bokhari Ashfaque H; Johnpillai A G; Mahomed F M; Zaman F D

来源：Nonlinear Analysis: Real World Applications , 2012, 13(6): 2823-2829.

DOI：10.1016/j.nonrwa.2012.04.011

• Partial Lagrangian
• Approximate partial Noether operators
• Partial Noether theorem
• Approximate conservation laws

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.

• 出版日期2012-12
• 单位中国石油大学（北京）