The Application of Lie Group Method in Modern Mathematical Physics

The Lie group algorithm is an important tool in modern mathematical physics, which was first proposed by the famous mathematician Sophus Lie. Based on the invariance of differential equations under Lie group transformation, Lie group algorithm can solve nonlinear equations, and its solution steps are easy to standardize and program, with a wide range of applications. The author of this article applies the Lie group algorithm to mechanical mechanics, electromagnetic mechanics, fluid dynamics, and computer vision technology. The biggest feature of this book is that the author provides detailed solutions and application results of the Lie group algorithm, with detailed calculations and reliable results. The author's application case has a clear physical background and is not a purely mathematical formula, making it suitable for a wide range of readers.The publication of this book will greatly contribute to the further development of the Lie group algorithm.