Article ID Journal Published Year Pages File Type
841523 Nonlinear Analysis: Theory, Methods & Applications 2010 4 Pages PDF
Abstract

In this paper we consider the Hirota transformation of the Caudrey–Dodd–Gibbon equation (CDGE) from another point of view. As a result, the local equivalence between the CDGE and its bilinear equation is established, and a new type of Bäcklund transformation, which is defined by a second-order ODE along with the appropriate initial values, is presented to construct new solutions for the bilinear CDGE from the seed solutions of original CDGE.

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