New Airy-type solutions of the ultradiscrete Painleve II equation with parity variables

New Airy-type solutions of the ultradiscrete Painleve II equation with parity variables
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具有奇偶变量的超离散 Painleve II 方程的新 Airy 型解

DOI：
10.1088/1751-8113/49/14/145207
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发表时间：
2016
期刊：
J. Phys. A
影响因子：
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通讯作者：
Shin Isojima and Kouichi Takemura
Shin Isojima and Kouichi Takemura
中科院分区：
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文献类型：
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作者：
Hikaru Igarashi;Shin Isojima and Kouichi Takemura

文献摘要

相似文献

q-差分Painlevé II方程允许用行列式表示的特解，行列式的项是q-艾里方程的通解。利用奇偶变量超离散化方法研究了该方程特解的超离散极限。然后我们得到了具有奇偶变量的超离散Painlevé II方程的新的Airy型解，并且这些解比已知解具有更丰富的结构.
The q-difference Painlevé II equation admits special solutions written in terms of determinants whose entries are the general solution of the q-Airy equation. An ultradiscrete limit of the special solutions is studied using the procedure of ultradiscretization with parity variables. Then we obtain new Airy-type solutions of the ultradiscrete Painlevé II equation with parity variables, and the solutions have a richer structure than the known solutions.