Applications of the Lie algebraic formulas of Baker, Campbell, Hausdorff and Zassenhaus to the calculation of explicit solutions of partial differential equations
From MaRDI portal
Publication:1227105
DOI10.1016/0022-0396(77)90088-2zbMath0329.35010OpenAlexW2087209979MaRDI QIDQ1227105
Publication date: 1977
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(77)90088-2
Solutions to PDEs in closed form (35C05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)
Related Items (17)
Lie-trotter product formulas for nonlinear filtering ⋮ Evolution loops ⋮ Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients ⋮ On representations of Lie algebras for quantized Hamiltonians ⋮ On matrix representations of deformed Lie algebras for quantized Hamiltonians ⋮ The geometry of differential constraints for a class of evolution PDEs ⋮ On faithful matrix representations of \(q\)-deformed models in quantum optics ⋮ The most general solution for the wave equation of the transformed Tavis-Cummings model ⋮ Current algebras and the identification problem ⋮ Lie algebras associated with the exponential solutions of nonautonomous linear differential equations ⋮ Lie algebraic methods and solutions of linear partial differential equations ⋮ Lie algebraic approach of a charged particle in presence of a constant magnetic field via the quadratic invariant ⋮ Solution of linear partial differential equations by Lie algebraic methods ⋮ Hyperbolic equations with coefficients in an enveloping algebra ⋮ Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant ⋮ New classes of finite-dimensional nonlinear filters ⋮ Riccati equations and Lie series
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbation algebra of an elliptic operator
- Pseudo-Fokker Planck equations and hyperdifferential operators
- Applications of hyperdifferential operators to quantum mechanics
- On the integrability of representations of finite dimensional real Lie algebras
- Canonical transforms. I. Complex linear transforms
- Expansion of the Campbell‐Baker‐Hausdorff formula by computer
- Simple facts about analytic vectors and integrability
- Computers in Lie algebras. I: Calculation of Inner Multiplicities
- On Global Representations of the Solutions of Linear Differential Equations as a Product of Exponentials
- On the exponential solution of differential equations for a linear operator
This page was built for publication: Applications of the Lie algebraic formulas of Baker, Campbell, Hausdorff and Zassenhaus to the calculation of explicit solutions of partial differential equations
