UNIFICATION OF INTEGRABLE q-DIFFERENCE EQUATIONS

Silindir Yantır B., Soyoglu D.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2015
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: 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
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.