Construction of Quasi-Periodic Wave Solutions for Differential- Difference Equation

Y.C. Hon, Qi Wang

Type: Article

Publication Date: 2012-02-01

Citations: 3

DOI: https://doi.org/10.5560/zna.2011-0063

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.

Locations

Zeitschrift für Naturforschung A - View - PDF

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Works Cited by This (8)

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+	Direct Methods in Soliton Theory	1980	Ryogo Hirota
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+	A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. II. Exact One- and Two-Periodic Wave Solution of the Coupled Bilinear Equations	1980	Akira Nakamura
+	A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution	1979	Akira Nakamura
+	The<i>N</i>-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources	2002	Da‐jun Zhang
+	Soliton Solution to Extended Volterra Equation	1982	Kazuaki Narita
+	A KIND OF EXPLICIT QUASI-PERIODIC SOLUTION AND ITS LIMIT FOR THE TODA LATTICE EQUATION	2008	Y.C. Hon Engui Fan Zhenyun Qin