Integrable semi-discretization of a multi-component short pulse equation
Integrable semi-discretization of a multi-component short pulse equation
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DOI：
10.1063/1.4916895
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发表时间：
2015-04
影响因子：
1.3
通讯作者：
B. Feng;K. Maruno;Y. Ohta
中科院分区：
文献类型：
--
作者：
B. Feng;K. Maruno;Y. Ohta
本文主要研究多分量短脉冲方程的可积半离散化问题。首先，我们简要回顾了Matsuno [J. Math. Phys. 52，123702（2011）]提出的多分量短脉冲方程的双线性方程，并重申了其N孤子解的pfnarrans。然后利用双线性方程的Backlund变换和定义离散速端图（倒数）变换，构造了一个可积的半离散多分量短脉冲方程。同时，也证明了它的N孤子解的pf-形式。
In the present paper, we mainly study the integrable semi-discretization of a multi-component short pulse equation. First, we briefly review the bilinear equations for a multi-component short pulse equation proposed by Matsuno [J. Math. Phys. 52, 123702 (2011)] and reaffirm its N-soliton solution in terms of pfaffians. Then by using a Backlund 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.