Results 1 to 10 of about 446 (44)
A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras.
Fucai You, Jiao Zhang, Yan Zhao
doaj +2 more sources
A short proof of chaos in an atmospheric system [PDF]
We will prove the presence of chaotic motion in the Lorenz five-component atmospheric system model using the Melnikov function method developed by Holmes and Marsden for Hamiltonian systems on Lie Groups.Comment: PACS: 02.20.Sv; 02.30.Hg; 02.40.-k; 92.60.
Bokhove +10 more
core +2 more sources
Extended Quantum XOR Gate in Terms of Two-Spin Interactions [PDF]
Considerations of feasibility of quantum computing lead to the study of multispin quantum gates in which the input and output two-state systems (spins) are not identical.
Chuang I. L. +3 more
core +2 more sources
In this work, Lie symmetry analysis for the time fractional simplified modified Kawahara (SMK) equation with Riemann-Liouville (RL) derivative, is analyzed.
Baleanu Dumitru +3 more
doaj +1 more source
Some new remarks on MHD Jeffery-Hamel fluid flow problem
A Hamilton-Poisson realization of the MHD Jeffery-Hamel fluid flow problem is proposed. Tthe nonlinear stability of the equilibrium states is discussed.
Ene Remus-Daniel, Pop Camelia
doaj +1 more source
Linear Odd Poisson Bracket on Grassmann Variables [PDF]
A linear odd Poisson bracket (antibracket) realized solely in terms of Grassmann variables is suggested. It is revealed that the bracket, which corresponds to a semi-simple Lie group, has at once three Grassmann-odd nilpotent $\Delta$-like differential ...
Batalin +17 more
core +5 more sources
In this article, the generalized shallow water wave (GSWW) equation is studied from the perspective of one dimensional optimal systems and their conservation laws (Cls).
Baleanu Dumitru +3 more
doaj +1 more source
Space-time dynamics from algebra representations [PDF]
We present a model for introducing dynamics into a space-time geometry. This space-time structure is constructed from a C*-algebra defined in terms of the generators of an irreducible unitary representation of a finite-dimensional Lie algebra G.
Aldaya V +12 more
core +3 more sources
The optimal investment-consumption problem under the constant elasticity of variance (CEV) model is investigated from the perspective of Lie group analysis. The Lie symmetry group of the evolution partial differential equation describing the CEV model is
Motsepa Tanki +3 more
doaj +1 more source
Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
doaj +1 more source

