On Backlund transformations of surfaces by extended Harry-Dym flow
نویسندگان
چکیده
منابع مشابه
An extended Harry Dym hierarchy
Abstract An extended Harry Dym hierarchy is constructed by using eigenfunctions and adjoint eigenfunctions of the spectral problems of the Harry Dym hierarchy associated with the pseudo-differential operator L = u∂ +u0 +u1∂−1 + · · ·. The corresponding Lax presentation possesses a self-consistent source involving squared eigenfunctions. The resulting extended Harry Dym hierarchy is reduced to t...
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A supersymmetric version is proposed for the well known Harry Dym system. A general class super Lax operator which leads to consistent equations is considered.
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We describe how the Harry Dym equation fits into the the bi-Hamiltonian formalism for the Korteweg-de Vries equation and other soliton equations. This is achieved by means of a certain Poisson pencil constructed from two compatible Poisson structures. We obtain an analogue of the Kadomtsev-Petviashivili hierarchy whose reduction leads to the Harry Dym hierarchy. We call such system the HD-KP hi...
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The BB acklund transformation for pseudospherical surfaces, which is equivalent to that of the sine-Gordon equation, can be restricted to give a transformation on space curves that preserves constant torsion. We study its eeects on closed curves (in particular, elastic rods) that generate multiphase solutions for the vortex lament ow (also known as the Localized Induction Equation). In doing so...
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ژورنال
عنوان ژورنال: Thermal Science
سال: 2019
ISSN: 0354-9836,2334-7163
DOI: 10.2298/tsci190220342s