Potential symmetries and conservation laws for generalized quasilinear hyperbolic equations
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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.
Key wordsconservation law generalized quasilinear hyperbolic equation invariant solution potential symmetry
Chinese Library ClassificationO152.5 O175.2
2010 Mathematics Subject Classification70S10 35L65 70H33
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