Add to ORKGThis 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
: A second solution of the q-difference equation of the Hahn-Exton q-Bessel function, corresponding...
In chapter 2, we study two Kaup-Newell-type matrix spectral problems, derive their soliton hierarchi...
A new approach to the theory of polynomial solutions of q{dierence equations is proposed. The approa...
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-d...
In this paper, we construct a new integrable equation which is a generalization of q-Toda equation. ...
Two integrable differential-difference equations introduced recently by Hu and Tam are examined. The...
Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The purpose of this Letter i...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2011Includes bibliographical ref...
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independ...
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independ...
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform ...
In this work, we study the integrable sinh-Gordon (ShG) and the modified KdV-sinh-Gordon (MKdV-ShG) ...
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform ...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
Bäcklund transformations between all known completely integrable third-order differential equations ...
: A second solution of the q-difference equation of the Hahn-Exton q-Bessel function, corresponding...
In chapter 2, we study two Kaup-Newell-type matrix spectral problems, derive their soliton hierarchi...
A new approach to the theory of polynomial solutions of q{dierence equations is proposed. The approa...
This article presents a unifying framework for q-discrete equations. We introduce a generalized q-d...
In this paper, we construct a new integrable equation which is a generalization of q-Toda equation. ...
Two integrable differential-difference equations introduced recently by Hu and Tam are examined. The...
Let KdV stand for the Nth Gelfand-Dickey reduction of the KP hierarchy. The purpose of this Letter i...
Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2011Includes bibliographical ref...
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independ...
We prove that a linear q-difference equation of order n has a fundamental set of n-linearly independ...
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform ...
In this work, we study the integrable sinh-Gordon (ShG) and the modified KdV-sinh-Gordon (MKdV-ShG) ...
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform ...
Abstract. Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equatio...
Bäcklund transformations between all known completely integrable third-order differential equations ...
: A second solution of the q-difference equation of the Hahn-Exton q-Bessel function, corresponding...
In chapter 2, we study two Kaup-Newell-type matrix spectral problems, derive their soliton hierarchi...
A new approach to the theory of polynomial solutions of q{dierence equations is proposed. The approa...