NDLI: Rational solutions of integrable equations via nonlinear superposition formulae

Content Provider	Scilit
Author	Hu, Xing-Biao
Copyright Year	1997
Description	Journal: Journal of Physics A: General Physics In this paper, a method is developed to obtain rational solutions of integrable equations which include KdV, Boussinesq, KP, Ito, (1 + 1)-dimensional CDGKS, Ramani and (2 + 1)-dimensional CDGKS equations. The key step that we use to find rational solutions of these equations is the use of nonlinear superposition formulae. All these rational solutions obtained for each equation are connected by a Bäcklund transformation, which enables us to find other new solutions through the nonlinear superposition of rational solutions and other known solutions.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/30/23/020/pdf
Ending Page	8240
Page Count	16
Starting Page	8225
ISSN	00223689
DOI	10.1088/0305-4470/30/23/020
Journal	Journal of Physics A: General Physics
Issue Number	23
Volume Number	30
Language	English
Publisher	IOP Publishing
Publisher Date	1997-12-07
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Applied Mathematics Mathematical Physics Nonlinear Superposition Integrable Equations Rational Solutions
Content Type	Text
Resource Type	Article

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Rational solutions of integrable equations via nonlinear superposition formulae