Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 Subject to the Initial Condition P(x,y,0)=Φ(x,y)

DOI10.1063/1.1665181zbMath0186.42701OpenAlexW2014812329WikidataQ115333957 ScholiaQ115333957MaRDI QIDQ5580526

Marvin E. Goldstein

Publication date: 1970

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1665181

zbMATH Keywords

partial differential equations

Related Items (3)

Geometric Approach to Invariance Groups and Solution of Partial Differential Systems ⋮ Applications of hyperdifferential operators to quantum mechanics ⋮ Solution of the differential equation \((\partial^2/\partial x \partial y + ax \partial/\partial x + by \partial/\partial y +cxy+ \partial/\partial t) P (x,y,t)=0\) and the Bogoliubov transformation

Cites Work

• Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0
• Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by ∂∂y+cxy+∂∂t)P=0 Subject to the Initial Condition P(x, y, t = 0) = Φ(x, y)

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