The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations

Details The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations

2010-05-18

arxiv.org/abs/1005.3109v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

typos corrected and references added. To appear in Phys.LettA

Scientific paper

It is shown that two different supersymmetric extensions of the Harry Dym equation lead to two different negative hierarchies of the supersymmetric integrable equations. While the first one yields the known even supersymmetric Hunter - Saxton equation, the second one is a new odd supersymmetric Hunter - Saxton equation. It is further proved that these two supersymmetric extensions of the Hunter - Saxton equation are reciprocally transformed to two different supersymmetric extensions of the Liouville equation.

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