Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 by Normal-Ordering Exponential Operators

DOI10.1063/1.1665252zbMath0191.39603OpenAlexW2035152200WikidataQ115333950 ScholiaQ115333950MaRDI QIDQ5585633

Ralph M. Wilcox

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1063/1.1665252

zbMATH Keywords

partial differential equations

Related Items (8)

The decomposition method For solving higher dimensional Initial boundary value problems of variable coefficients ⋮ Exact solutions for heat-like and wave-like equations with variable coefficients. ⋮ Variational homotopy perturbation method for solving higher dimensional initial boundary value problems ⋮ Solution of linear partial differential equations by Lie algebraic methods ⋮ Modified variational iteration method for heat and wave-like equations ⋮ Applications of hyperdifferential operators to quantum mechanics ⋮ Solving heat and wave-like equations using He's polynomials ⋮ 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)
• Exponential Operators and Parameter Differentiation in Quantum Physics

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