A supersymmetric extension of the Hunter–Saxton equation is constructed. We present its bi-Hamiltonian structure and show that it arises geometrically as a geodesic equation on the space of superdiffeomorphisms of the circle that leave a point fixed endowed with a right-invariant metric.
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North China Inst Sci & Technol, Coll Sci, Langfang 065201, Peoples R ChinaNorth China Inst Sci & Technol, Coll Sci, Langfang 065201, Peoples R China
Zhou, Hanyu
Tian, Kai
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China Univ Min & Technol, Sch Math Sci, Beijing 100083, Peoples R ChinaNorth China Inst Sci & Technol, Coll Sci, Langfang 065201, Peoples R China
Tian, Kai
Yang, Xiaoxia
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Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R ChinaNorth China Inst Sci & Technol, Coll Sci, Langfang 065201, Peoples R China
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E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R ChinaE China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R China
Li, Hongmin
Li, Yuqi
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E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R ChinaE China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R China
Li, Yuqi
Chen, Yong
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E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R ChinaE China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai, Peoples R China