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.
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页数：18
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