声明
Abstract
CONTENTS
Chapter 1 Introduction
1．1 Motivation
1．2 Literature review
1．2．1 History of the question
1．2．2 Modern approaches
1．3 Thesis Outline／Organization
Chapter 2 Classical method of symmetric reduction
2．1 One-parameter transformation groups
2．1．1 Concept of one-parameter transformation group
2．1．2 The tangential field of vectors．Equation Lie
2．1．3．Infinitesimal group operator．Invariants of group
2．2．Groups，which allow differential equations in partial derivatives
2．2．1．Continuation methods
2．2．2．Indieial equations
Chapter 3 Research of symmetry non-linear wave equation and its use for searching of precise decisions
3．1．Use symmetry to searching precise decisions cylindrical-symmetric non-linear wave equation
3．2．The cylindrical-symmetric non-linear wave equation
Chapter 4 Conclusion
Acknowledgements
Reference
Publications
兰州交通大学;
wave equation; method of Lie; symmetrical analysis; exact solutions;
