Nonlinear interaction of waves in a hot inhomogeneous magnetized plasma.
Khan, Tara Prasad, Das, Mahadeb, Debnath, Lokenath (1979)
International Journal of Mathematics and Mathematical Sciences
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Khan, Tara Prasad, Das, Mahadeb, Debnath, Lokenath (1979)
International Journal of Mathematics and Mathematical Sciences
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Donato Fortunato (2008)
Bollettino dell'Unione Matematica Italiana
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Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet; by soliton, we mean a solitary wave which exhibits some form of stability. In this respect solitary waves and solitons have a particle-like behavior and they occur in many questions of mathematical physics, such as superconductivity, phase transition, classical and quantum field theory, non linear optics, (see e.g. [37], [50], [56]). We are not interested in the study of a particular...
Paul, S.N., Chakraborty, B., Debnath, L. (1985)
International Journal of Mathematics and Mathematical Sciences
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Manuel G. Velarde (1993)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Alkahby, H.Y. (1996)
International Journal of Mathematics and Mathematical Sciences
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I. S. Shikin (1969)
Annales de l'I.H.P. Physique théorique
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Campos, L.M.B.C. (1982)
Portugaliae mathematica
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Benhadid, Yacine (2007)
APPS. Applied Sciences
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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...