Journal
NONLINEAR DYNAMICS
Volume 84, Issue 4, Pages 1901-1907Publisher
SPRINGER
DOI: 10.1007/s11071-016-2614-7
Keywords
Discrete Hirota equation; Soliton; Discrete Darboux transformation
Categories
Funding
- National Natural Science Foundation of China [11347165, 61405137]
- Shanxi Province Science Foundation for Youths [2015021008]
- Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi [2013110]
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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 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.
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