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math.AP2020★ 5 cited
Abstract formulation of the Miura transform
Yoritaka Iwata
Miura transform is known as the transformation between Korteweg de-Vries equation and modified Korteweg de-Vries equation. Its formal similarity to the Cole-Hopf transform has been…
math.AP2018★ 4 cited
Relativistic formulation of abstract evolution equations
Yoritaka Iwata
The relativistic formulation of abstract evolution equations is introduced. The corresponding logarithmic representation is shown to exist without assuming the invertible property…
math.AP2018★ 5 cited
Abstract formulation of the Cole-Hopf transform
Yoritaka Iwata
Operator representation of Cole-Hopf transform is obtained based on the logarithmic representation of infinitesimal generators. For this purpose the relativistic formulation of abs…