Approximate conservation laws of perturbed partial differential equations

作者：Gan Yani; Qu Changzheng^*

来源：Nonlinear Dynamics, 2010, 61(1-2): 217-228.

DOI：10.1007/s11071-009-9643-4

• Conservation law
• Lagrangian
• Noether symmetry
• Adjoint system

This paper presents a general result on approximate conservation laws of perturbed partial differential equations. A method of constructing approximate conservation laws to systems of perturbed partial differential equations is given, which is based on approximate Noether symmetries of approximate and standard adjoint systems of the original system. The relationship between the Noether symmetry operators of approximate and standard adjoint system is established. As a result, the approach is applied to the perturbed wave equation and the perturbed KdV equation.

• 出版日期2010-7
• 单位西北大学