Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations

Details Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations

2011-11-16

arxiv.org/abs/1111.3724v1

Mathematics

Differential Geometry

Applied Mathematics and Mechanics(2011) - Springer

Scientific paper

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

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