Silindir, BurcuSoyoglu, Duygu2023-06-162023-06-1620151072-6691https://hdl.handle.net/20.500.14365/2995This 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.eninfo:eu-repo/semantics/closedAccessIntegrabilityq-soliton solutionsq-difference KdV equationq-difference-q-difference Toda equationq-differencesine-Gordon equationMultiple CollisionsBilinear EquationsToda LatticeSearchArticle2-s2.0-84943225601