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Nonlocal Symmetries and Solutions of the Hunter Saxton Equation

E.Y. Abu El Seoud, M. M. Kassem


Conservation laws of the Hunter Saxton equation are investigated through a set of first order multipliers. Eight different conservative forms are deduced for Hunter Saxton equation using a simple algebraic method. For each conservation law, nonlocal potential systems are constructed, their Lie vectors are derived and some new nonlocal solutions of Hunter Saxton equation are obtained.


Hunter Saxton equation, conservation law, potential symmetry.

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