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Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda Hierarchy by Shiraishi, Jun'ichi; Tutiya, Yohei is a scholarly article available to read on EtoBox.

What is Periodic Benjamin-Ono equation with discrete Laplacian and 2D-Toda Hierarchy about?

We study the relation between the periodic Benjamin-Ono equation with discrete Laplacian and the two dimensional Toda hierarchy. We introduce the tau-functions tau_pm(z) for the periodic Benjamin-Ono equation, construct two families of integrals of motion {M_1,M_2,cdots}, {overline{M}_1,overline{M}_2,cdots}, and calculate some examples of the bilinear equations using the Hamiltonian structure. We confirmed that some of the low lying bilinear equations agree with the ones obtained from a certain reduction of the 2D Toda hierarchy.

Author

Shiraishi, Jun'ichi; Tutiya, Yohei

Published

2010

Language

EN