这是一本关于偏微分方程高级对称方法的易读书。主题包括守恒定律、局部对称、高阶对称、接触变换、删除“伴随对称”、Noether定理、局部映射、非局部相关PDE系统、势对称、非局部对称、非局部守恒定律、非局部映射和非经典方法。数学、物理和工程领域的研究生和研究人员会发现这本书很有用。
这本书是乔治·W·布鲁曼和斯蒂芬·C·安科的《微分方程的对称和积分方法》（2002）的续集。本书的重点是如何系统地找到给定PDE系统的对称性（局部和非局部）和守恒定律（局部和非局部），以及如何在相关应用中系统地使用对称性和守恒定律。
Applications of Symmetry Methods to Partial Differential Equations
This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete “adjoint symmetries,” Noether’s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful.
This book is a sequel to Symmetry and Integration Methods for Differential Equations (2002) by George W. Bluman and Stephen C. Anco. The emphasis in the present book is on how to find systematically symmetries (local and nonlocal) and conservation laws (local and nonlocal) of a given PDE system and how to use systematically symmetries and conservation laws for related applications.
OR
