منابع مشابه
On the Bi-hamiltonian Theory for the Harry Dym Equation
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...
متن کاملct 2 00 3 Transformation of a generalized Harry Dym equation into the Hirota – Satsuma system
The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.
متن کاملTransformation of a generalized Harry Dym equation into the Hirota–Satsuma system
The new generalized Harry Dym equation of Z. Popowicz is transformed into the Hirota–Satsuma system of coupled KdV equations.
متن کاملAn 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...
متن کاملSupersymmetric Harry Dym Type Equations
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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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2003
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2003.08.037