Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (12): 1607-1614.doi: https://doi.org/10.1007/s10483-011-1527-6

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Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations

 M. NADJAFIKHAH, R. BAKHSHANDEH CHAMAZKOTI, F. AHANGARI   

  1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran
  • Received:2010-12-20 Revised:2011-08-03 Online:2011-12-09 Published:2011-12-01

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: 

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