2 papers
math-ph2021
Three-dimensional fundamental diagram of particle system of 5 neighbors with two conserved densities
Kazushige Endo, Daisuke Takahashi
We discuss a particle system of 5 neighbors with two independent conserved densities. The mean momentum uniquely depends on a pair of the densities and a three-dimensional fundamen…
nlin.SI2021
Lattice equations and their solutions with complexity of polynomial class
Soujun Kitagawa, Daisuke Takahashi
We discuss initial value problems for time evolution equations in one dimensional space which are expressed by the lattice operators and propose some new equations to which complex…