非线性平流扩散方程的线性分数映射型非线性QCA解

量子信息科学期刊(英文) Pub Date : 2016-10-31 DOI:10.4236/JQIS.2016.64017

S. Hamada, H. Sekino

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引用次数: 1

摘要

本文对线性分数映射型(LFMT)非线性QCA (NLQCA)——最简单的可逆NLQCA之一进行了分析和数值研究。由线性QCA的连续极限得到线性平流方程或时变薛定谔方程(TDSE)。同样地，从LFMT NLQCA中得到了一些非线性平流扩散方程，包括无粘Burgers方程和多孔介质方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA

Linear fractional map type (LFMT) nonlinear QCA (NLQCA), one of the simplest reversible NLQCA is studied analytically as well as numerically. Linear advection equation or Time Dependent Schrodinger Equation (TDSE) is obtained from the continuum limit of linear QCA. Similarly it is found that some nonlinear advection-diffusion equations including inviscid Burgers equation and porous-medium equation are obtained from LFMT NLQCA.

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来源期刊

量子信息科学期刊(英文)

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108