S
Sukeyuki Kumei
Researcher at University of the Pacific (United States)
Publications - 15
Citations - 3285
Sukeyuki Kumei is an academic researcher from University of the Pacific (United States). The author has contributed to research in topics: Differential equation & Stochastic partial differential equation. The author has an hindex of 13, co-authored 15 publications receiving 3151 citations.
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New classes of symmetries for partial differential equations
TL;DR: In this article, the authors introduced new classes of symmetries for partial differential equations, which are neither point nor Lie-Backlund symmetric, and they are determined by a completely algorithmic procedure.
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On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)]−(∂u/∂t)=0
George W. Bluman,Sukeyuki Kumei +1 more
TL;DR: In this paper, the authors studied the invariance properties of the nonlinear diffusion equation (∂/∂x) and showed that an infinite number of one-parameter Lie-Backlund groups are admitted if and only if the conductivity C (u) =a (u+b)−2
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On invariance properties of the wave equation
George W. Bluman,Sukeyuki Kumei +1 more
TL;DR: In this article, a complete group classification of the wave equation c 2(x)uxx−utt=0 (I) and its equivalent system vt=ux, c 2 (x)vx=ut (II) when the wave speed c(x )≠const.
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Invariance transformations, invariance group transformations, and invariance groups of the sine-Gordon equations
TL;DR: In this paper, the authors investigated a structure of continuous invariance transformations connected to the identity transformation and showed explicitly how the infinitesimal transformations are woven into the finite transformation, leading to a new method of finding generators of the invariance group transformation.