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GO++ : a modular lagrangian/eulerian software for Hamilton Jacobi equations of geometric optics type

Jean-David Benamou, Philippe Hoch (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We describe both the classical lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.

Soliton-pair Propagation under Thermal Bath Effect

N. Boutabba, H. Eleuch (2012)

Mathematical Modelling of Natural Phenomena

We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.

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