Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation
نویسندگان
چکیده
منابع مشابه
Symmetries and exact solutions of the time fractional Harry-Dym equation with RiemannLiouville derivative
In this paper, group analysis of the time fractional Harry-Dym equation with Riemann– Liouville derivative is performed. Its maximal symmetry group in Lie’s sense and the corresponding optimal system of subgroups are determined. Similarity reductions of the equationunder study are performed. As a result, the reduced fractional ordinary differential equations are deduced, and some group invarian...
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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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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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ژورنال
عنوان ژورنال: Applied Mathematics and Nonlinear Sciences
سال: 2019
ISSN: 2444-8656
DOI: 10.2478/amns.2019.1.00004