Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (12): 1607-1614.doi: https://doi.org/10.1007/s10483-011-1527-6
• Articles • Previous Articles Next Articles
M. NADJAFIKHAH, R. BAKHSHANDEH CHAMAZKOTI, F. AHANGARI
Received:
Revised:
Online:
Published:
Abstract: Based on the Lie group method, the potential symmetries and invariant solutions for generalized quasilinear hyperbolic equations are studied. To obtain the invariant solutions in an explicit form, the physically interesting situations with potential symmetries are focused on, and the conservation laws for these equations in three physically interesting cases are found by using the partial Lagrangian approach.
2010 MSC Number:
70S10
35L65
70H33
M. NADJAFIKHAH;R. BAKHSHANDEH CHAMAZKOTI;F. AHANGARI. Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations. Applied Mathematics and Mechanics (English Edition), 2011, 32(12): 1607-1614.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-011-1527-6
https://www.amm.shu.edu.cn/EN/Y2011/V32/I12/1607