Abstract
Based on the use of the Hirota bilinear method and the Riemann theta function, we develop in this paper a constructive method for obtaining explicit quasi-periodic wave solutions of a new integrable generalized differential-difference equation. Analysis on the asymptotic property of the quasiperiodic wave solutions is given, and it is shown that the quasi-periodic wave solutions converge to the soliton solutions under certain conditions. © 2012 Verlag der Zeitschrift für Naturforschung, Tübingen.
| Original language | English |
|---|---|
| Pages (from-to) | 21-28 |
| Journal | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences |
| Volume | 67 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2012 |
Research Keywords
- Hirota bilinear method
- Quasi-periodic wave solutions PACS numbers
- Riemann theta function
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