2 citations · 2 across the 5 of their papers we have counts for
5 papers
Nonlinear Schrödinger equation in terms of elliptic and hyperelliptic functions
Shigeki Matsutani
It is known that the elliptic function solutions of the nonlinear Schrödinger equation are reduced to the algebraic differential relation in terms of the Weierstrass sigma function…
Conway's law, revised from a mathematical viewpoint
Shigeki Matsutani, Shousuke Ohmori, Kenji Hiranabe +1
In this article, we revise Conway's Law from a mathematical point of view. By introducing a task graph, we first rigorously state Conway's Law based on the homomorphisms in graph t…
A Novel Discrete Theory of a Screw Dislocation in the BCC Crystal Lattice
Shigeki Matsutani
In this paper, we proposed a novel method using the elementary number theory to investigate the discrete nature of the screw dislocations in crystal lattices, simple cubic (SC) lat…
The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph
Matsutani Shigeki, Misuhashi Hideo, Morita Hideaki +1
We consider the second weighted Bartholdi zeta function of a graph , and present weighted versions for the result of Li and Hou's on the partial derivatives of the determinant p…
Toda Equations and -Functions of Genera One and Two
Shigeki Matsutani
We study the Toda equations in the continuous level, discrete level and ultradiscrete level in terms of elliptic and hyperelliptic and functions of genera one and two. The…