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On the continuum limit for a semidiscrete Hirota equation.
- Source :
-
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences . Nov2016, Vol. 472 Issue 2195, p1-11. 11p. - Publication Year :
- 2016
-
Abstract
- In this paper, we propose a new semidiscrete Hirota equation which yields the Hirota equation in the continuum limit. We focus on the topic of how the discrete space step δ affects the simulation for the soliton solution to the Hirota equation. The Darboux transformation and explicit solution for the semidiscrete Hirota equation are constructed. We show that the continuum limit for the semidiscrete Hirota equation, including the Lax pair, the Darboux transformation and the explicit solution, yields the corresponding results for the Hirota equation as δ→0. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13645021
- Volume :
- 472
- Issue :
- 2195
- Database :
- Academic Search Index
- Journal :
- Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 120984232
- Full Text :
- https://doi.org/10.1098/rspa.2016.0628