Open AccessThe differential-q-difference 2D Toda equation: bilinear form and soliton solutions
Author(s) -
Bayan Kutum,
Kuralay Yesmakhanova,
Gaukhar Shaikhova
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012122
Subject(s) - toda lattice , bilinear interpolation , mathematics , differential equation , soliton , bilinear form , differential (mechanical device) , mathematical physics , mathematical analysis , lattice (music) , pure mathematics , nonlinear system , physics , integrable system , quantum mechanics , statistics , thermodynamics , acoustics
In this paper, the differential-q-difference 2D Toda lattice is studied. Hirota’s bilinear technique is applied to it. Soliton solutions are constructed through the resulting bilinear form for the differential-q-difference 2D Toda equation.