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- Title
Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions.
- Authors
Guo, Rui; Zhao, Xiao-Juan
- Abstract
Under investigation in this paper is the discrete Hirota equation which is a combination of discrete NLS and discrete complex modified KdV equations. The discrete spectral problem analysis has been made, and discrete Darboux transformation(DT) has been constructed based on $$2\times 2$$ discrete Lax pair for system (1.3). In addition, we have derived new discrete one-soliton solutions by using the obtained discrete DT for system (1.3). Figures have been plotted to display the dynamic features of discrete solitons.
- Subjects
DARBOUX transformations; NONLINEAR Schrodinger equation; SPECTRAL quantities; ELECTROMAGNETIC waves; LAX pair
- Publication
Nonlinear Dynamics, 2016, Vol 84, Issue 4, p1901
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-016-2614-7