Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2010-01-01

Journal: COMMUNICATIONS IN THEORETICAL PHYSICS

Included Journals: ISTIC、SCIE

Volume: 53

Issue: 1

Page Number: 1-5

ISSN: 0253-6102

Key Words: symmetry reduction; conditional symmetry; exact solutions; variable-coefficient nonlinear wave equations

Abstract: Lie symmetry reduction of some truly "variable coefficient" wave equations which are singled out from a class of (1 + 1)-dimensional variable coefficient nonlinear wave equations with respect to one and two-dimensional algebrasis carried out. Some classes of exact solutions of the investigated equations are found by means of both the reductions and some modern techniques such as additional equivalent transformations and hidden symmetries and so on. Conditional symmetries are also discussed.