UNIFICATION OF INTEGRABLE q-DIFFERENCE EQUATIONS

被引：0

作者：

Silindir, Burcu ^{[1
]}

Soyoglu, Duygu ^{[2
]}

机构：

[1] Dokuz Eylul Univ, Dept Math, TR-35160 Izmir, Turkey

[2] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Integrability; q-soliton solutions; q-difference KdV equation; q-difference-q-difference Toda equation; q-differencesine-Gordon equation; MULTIPLE COLLISIONS; BILINEAR EQUATIONS; TODA LATTICE; SEARCH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：18

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