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arxiv: math-ph/0406016 · v2 · submitted 2004-06-09 · 🧮 math-ph · math.DG· math.MP

Contact Equivalence of the Generalized Hunter - Saxton Equation and the Euler - Poisson Equation

classification 🧮 math-ph math.DGmath.MP
keywords equationgeneralizedcontacthunter--saxtonequivalenceeulereuler--poissonfind
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We present a contact transformation of the generalized Hunter--Saxton equation to the Euler--Poisson equation with special values of the Ovsiannikov invariants. We also find the general solution for the generalized Hunter--Saxton equation.

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