發(fā)布時間：2021-08-07 08:02

　　In this work,sets out the conditions conformal invariance cylindrically symmetric nonlinear wave equation D’ Alembert （?） relatively conformal algebra AC（l,n-1）.This eliminated relationship between exponent functions F（x,u）= λun+3/n-1 of number of spatial variables exist for classical equation□u=F（x,u）for requirement of conformal invariance relation algebra AC（l,n）.A search of invariants and ansatzes conformal algebra AC（1,1）,which is used for finding exact solutions of cylindrically-symmetric i... 

【文章來源】：蘭州交通大學(xué)甘肅省

【文章頁數(shù)】：53 頁

【學(xué)位級別】：碩士

【文章目錄】：
abstract
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. Indicial equationas
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



本文編號：3327407