Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations

M. Nadjafikhah; R. Bakhshandeh Chamazkoti; F. Ahangari

doi:10.3879/j.issn.1000-0887.2011.12.010

Volume 32 Issue 12

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M. Nadjafikhah, R. Bakhshandeh Chamazkoti, F. Ahangari. Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1501-1508. doi: 10.3879/j.issn.1000-0887.2011.12.010

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Potential Symmetries and Conservation Laws for Generalized Quasilinear Hyperbolic Equations

doi: 10.3879/j.issn.1000-0887.2011.12.010

School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, Iran

Received Date: 2010-12-29
Rev Recd Date: 2011-08-03
Publish Date: 2011-12-15

Abstract

Abstract

Based on Lie group method, potential symmetry and invariant solutions for generalized quasilinear hyperbolic equations were studied. To obtain the invariant solutions in explicit form, the physically interesting situations which admit potential symmetries were studied. Then by using the partial Lagrangian approach, the conservation laws for the equation are found in three physically interesting cases.
- conservation laws,
- generalized quasilinear hyperbolic equations,
- invariant solution,
- potential symmetry

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References(21)

References

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