Bilinear structures of Discrete Boussinesq-type equations

Da-jun Zhang (Shanghai University)

Tuesday 25th June, 2013 15:00-16:00 Maths 416

Abstract

We will talk about three lattice equations of Boussinesq type. They are related to a 3rd-order curve via a direct linearization approach. The 3D consistency can provide 0-solition solutions and 1-soliton solutions. These solutions will provide plane wave factors and lead to bilinearizations of these discrete Boussinesq-type equations. We will also give solutions of Casoratian form for these bilinear equations.

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