IEEE

Direct determination of the underlying Lie algebra in nonlinear optics

Abstract: It is shown that the equations of resonant nonlinear optics can be studied entirely within the framework of an underlying Lie algebra, in which the 2×2 su(2) Hamiltonian and density matrices ...
INSPIRE

Nonlinear (2+1)-dimensional field equations from incomplete Lie algebra structures

We show that the nonlinear (2+1)-dimensional Three-Wave Resonant Interaction equations, describing several important physical phenomena, can be generated starting from incomplete Lie algebras in the ...
INSPIRE

On Realizations of the Conformal Algebra and Nonlinear Invariant Equations in Low ...

Part of Proceedings, 5th International Conference on Symmetry in Nonlinear Mathematical Physics (SYMMETRY 03): Kiev, Ukraine, June 23-29, 2003 ...
IEEE

Nonlinear Controllability and Observability Analysis of DC-DC Boost Converter using Lie Algebra

Abstract: Nonlinear controllability and observability of the nonlinear dynamical system (NLDS) model of DC-DC boost converter has been analyzed using Lie algebra. Nonlinear controllability has been ...
Scientific Research Publishing

A New Newton-Type Method with Third-Order for Solving Systems of Nonlinear Equations ()

where x 0 is an initial guess of the root. This is one-step method, and it uses two evaluations of the function and derivative to achieve second-order convergence by iteration. Besides, third-order ...
GitHub

Workshop on Software and Applications of Numerical Nonlinear Algebra

pkg> add IJulia pkg> add HomotopyContinuation pkg> add https://github.com/PBrdng/Bertini.jl.git pkg> add https://github.com/PBrdng/PHCpack.git pkg> add Plots pkg> add ...