On the Discretization of the Coupled Integrable Dispersionless Equations

Luc Vinet, Guo‐Fu Yu

Type: Article

Publication Date: 2013-04-05

Citations: 21

DOI: https://doi.org/10.1080/14029251.2013.792476

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Abstract

We study the integrable discretization of the coupled integrable dispersionless equations. Two semi-discrete version and one full-discrete version of the system are given via Hirota's bilinear method. Soliton solutions for the derived discrete systems are also presented.

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Journal of Nonlinear Mathematical Physics - View - PDF

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+	Reply to Note on “New Coupled Integrable Dispersionless Equations”	1994	Kimiaki Konno Hitoshi Oono
+	Discontinuous<i>N</i>-Soliton Solution for Semi-Discrete Sine-Gordon Equation	1988	Kazuaki Narita
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+	A Nonlinear Difference Scheme and Inverse Scattering	1976	Mark J. Ablowitz J. F. Ladik
+	Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation	1977	Ryogo Hirota