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arXiv · 1504.00878

Integrable semi-discretization of a multi-component short pulse equation

Bao-Feng Feng·Ken-ichi Maruno·Yasuhiro Ohta
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Abstract

In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. Firstly, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno (J. Math. Phys. \textbf{52} 123705) and reaffirm its $N$-soliton solution in terms of pfaffians. Then by using a Bäcklund transformation of the bilinear equations and defining a discrete hodograph (reciprocal) transformation, an integrable semi-discrete multi-component short pulse equation is constructed. Meanwhile, its $N$-soliton solution in terms of pfaffians is also proved.

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Bao-Feng Feng, Ken-ichi Maruno, Yasuhiro Ohta. 2015-04-03. Integrable semi-discretization of a multi-component short pulse equation. https://doi.org/10.1063/1.4916895

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