Burcu Silindir, Duygu Soyoglu
Abstract:
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
Submitted September 3, 2015. Published October 2, 2015.
Math Subject Classifications: 37K10, 37K40, 39A13, 39A14.
Key Words: Integrability; q-soliton solutions; q-difference KdV equation;
q-difference-q-difference Toda equation; q-difference.
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Burcu Silindir Department of Mathematics Dokuz Eylul University, Tınaztepe Campus 35160, Buca, Izmir, Turkey email: burcusilindir@gmail.com | |
Duygu Soyoglu Department of Mathematics Izmir University of Economics 35330, Balcova, Izmir, Turkey email: duygusoyoglu@gmail.com |
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