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

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 ...

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 ...

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 ...

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 ...

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 ...