Published January 1, 2015
| Version v1
Journal article
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UNIFICATION OF INTEGRABLE q-DIFFERENCE EQUATIONS
Creators
- 1. Dokuz Eylul Univ, Dept Math, TR-35160 Izmir, Turkey
- 2. Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey
Description
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-difference equation in Hirota bilinear form and develop the associated three-q-soliton solutions which are described in polynomials of power functions by utilizing Hirota direct method. Furthermore, we present that the generalized q-difference soliton equation reduces to q-analogues of Toda, KdV and sine-Gordon equations equipped with their three-q-soliton solutions by appropriate transformations.
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