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Liouville correspondence between the Short-Pulse Hierarchy and the Sine-Gordon Hierarchy

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 نشر من قبل Xiaochuan Liu
 تاريخ النشر 2016
  مجال البحث فيزياء
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This paper considers the whole hierarchy of bi-Hamiltonian integrable equations associated to each of the Short-Pulse (SP) equation and the Sine-Gordon (SG) equation. We prove that the transformation that relates the SP equation with the SG equation also serves to establish the correspondence between their flows and Hamiltonian conservation laws in respective hierarchy.



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