LIE–TROTTER FORMULA AND POISSON DYNAMICS

We construct via the Lie–Trotter formula some explicit Poisson integrators for the Maxwell–Bloch equations from laser-matter dynamics, the Euler equations of the free rigid body and the equations of the rigid body with a spinning rotor.

Download Full-text

Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations

Studies in Applied Mathematics ◽

10.1111/sapm.12378 ◽

2021 ◽

Author(s):

Ling An ◽

Chuanzhong Li ◽

Lixiang Zhang

Keyword(s):

Darboux Transformations ◽

Bloch Equations ◽

Maxwell Bloch Equations

Download Full-text

Symmetries of the Maxwell-Bloch equations with the rotating wave approximation

Regular and Chaotic Dynamics ◽

10.1134/s1560354714050037 ◽

2014 ◽

Vol 19 (5) ◽

pp. 548-555 ◽

Cited By ~ 5

Author(s):

Ioan Caşu

Keyword(s):

Bloch Equations ◽

Rotating Wave Approximation ◽

Wave Approximation ◽

Rotating Wave ◽

Maxwell Bloch Equations

Download Full-text

Determinant representation of Darboux transformation for the (2+1)-dimensional nonlocal nonlinear Schrödinger-Maxwell-Bloch equations

Optik ◽

10.1016/j.ijleo.2020.166150 ◽

2021 ◽

Vol 228 ◽

pp. 166150

Author(s):

Jiang-Yan Song ◽

Chi-Ping Zhang ◽

Yu Xiao

Keyword(s):

Darboux Transformation ◽

Bloch Equations ◽

Nonlinear Schrödinger ◽

Determinant Representation ◽

Nonlocal Nonlinear ◽

Maxwell Bloch Equations

Download Full-text

Numerical solutions to 2D Maxwell–Bloch equations

Optical and Quantum Electronics ◽

10.1007/s11082-008-9227-4 ◽

2008 ◽

Vol 40 (5-6) ◽

pp. 447-453 ◽

Cited By ~ 5

Author(s):

Jingyi Xiong ◽

Max Colice ◽

Friso Schlottau ◽

Kelvin Wagner ◽

Bengt Fornberg

Keyword(s):

Numerical Solutions ◽

Bloch Equations ◽

Maxwell Bloch Equations

Download Full-text

Noetherian Perspective of Eulerian Motion of a Free Rigid Body

Journal of Guidance Control and Dynamics ◽

10.2514/2.4019 ◽

1997 ◽

Vol 20 (1) ◽

pp. 193-196

Author(s):

Yoshihiko Nakamura ◽

Ranjan Mukherjee

Keyword(s):

Rigid Body ◽

Free Rigid Body

Download Full-text

Mapping between the dynamic and mechanical properties of the relativistic oscillator and Euler free rigid body

Journal of Nonlinear Mathematical Physics ◽

10.1080/jnmp.2007.14.4.3 ◽

2007 ◽

Vol 14 (4) ◽

pp. 534-547 ◽

Cited By ~ 7

Author(s):

Alberto Molgado ◽

Adán Rodríguez

Keyword(s):

Mechanical Properties ◽

Rigid Body ◽

Free Rigid Body ◽

Relativistic Oscillator

Download Full-text

The free rigid body dynamics: Generalized versus classic

Journal of Mathematical Physics ◽

10.1063/1.4816550 ◽

2013 ◽

Vol 54 (7) ◽

pp. 072704 ◽

Cited By ~ 5

Author(s):

Răzvan M. Tudoran

Keyword(s):

Rigid Body ◽

Rigid Body Dynamics ◽

Free Rigid Body ◽

Body Dynamics

Download Full-text

TIME AVERAGING OF IRREGULAR SPATIOTEMPORAL PATTERNS OF A LARGE APERTURE LASER IN TRANSITORY REGIME

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127401002997 ◽

2001 ◽

Vol 11 (06) ◽

pp. 1771-1779

Author(s):

F. ENCINAS-SANZ ◽

I. LEYVA ◽

J. M. GUERRA

Keyword(s):

Experimental Technique ◽

Exposure Time ◽

Time Integration ◽

Spatiotemporal Patterns ◽

Time Averaging ◽

Bloch Equations ◽

Ordered Structures ◽

Large Aperture ◽

Spatiotemporal Behavior ◽

Maxwell Bloch Equations

By means of a new experimental technique, we measure quasi-intantaneous transverse intensity patterns in the gain-switch peak of a transversely excited atmospheric CO 2 laser with large aperture. The patterns recorded with a 2 ns resolution show a completely irregular spatiotemporal behavior, but when the exposure time of the measurements increases, boundary-determined ordered structures can be observed. As a quantification of this averaging process, the contrast of the intensity distributions decreases as the time integration grows. The results are numerically reproduced by integration of the full Maxwell–Bloch equations.

Download Full-text