Solitary waves, solitons and related (nonlinear) waves in dissipative media.
Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Wiryanto, L.H. (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Zhou, Jiangbo, Tian, Lixin (2009)
Mathematical Problems in Engineering
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I. S. Shikin (1969)
Annales de l'I.H.P. Physique théorique
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C. J. Van Duijn, A. Straathof (1994)
Revista Matemática de la Universidad Complutense de Madrid
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Bounded traveling waves, arising in combustion model for gas-solid reactions in a porous medium, are studied. We consider the existence, uniqueness and several qualitative properties. In particular we investigate waves with finiteness and derive estimates in the limit of vanishing diffusion.
Rémi Sentis (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...