Ultrashort self-similar periodic waves and similaritons in an inhomogeneous optical medium with an external source and modulated coefficients

2022 ◽  
Author(s):  
Calvin Djoptoussia ◽  
Camus Gaston Latchio Tiofack ◽  
Alim ◽  
Alidou Mohamadou ◽  
Timoléon Crépin Kofané
Keyword(s):  
External Source ◽  
Periodic Waves ◽  
Optical Medium ◽  
Self Similar

Chirped self-similar cnoidal waves and similaritons in an inhomogeneous optical medium with resonant nonlinearity

2020 ◽  
Vol 141 ◽  
pp. 110441
Author(s):  
Selma Meradji ◽  
Houria Triki ◽  
Qin Zhou ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
...  
Keyword(s):  
Cnoidal Waves ◽  
Optical Medium ◽  
Self Similar

Self-similar solutions for high-energy density radiative transfer with separate ion and electron temperatures

2021 ◽  
Vol 477 (2249) ◽  
Author(s):  
William Bennett ◽  
Ryan G. McClarren
Keyword(s):  
Energy Density ◽  
Coupling Coefficient ◽  
External Source ◽  
High Energy ◽  
High Energy Density ◽  
Equilibrium Plasma ◽  
Self Similar ◽  
Similar Solutions ◽  
High Energy Density Plasmas ◽  
Density Regime

We consider a non-equilibrium plasma radiatively heated by an external source in the high-energy density regime. It is shown that self-similar solutions resembling the classic Marshak wave exist for the ion and electron temperatures, if the electron–ion coupling coefficient scales inversely proportional to either the time from when the heating begins or to the square of the distance from the surface of the plasma. We discuss how such a coupling coefficient may arise, and demonstrate that these solutions are also useful for verifying simulation codes that treat radiation–electron–ion coupling in high-energy density plasmas.

scholarly journals Стационарные и самоподобные волны в стержне с разномодульной нелинейностью, диссипацией и дисперсией

2020 ◽  
Vol 90 (1) ◽  
pp. 11
Author(s):  
В.Е. Назаров ◽  
С.Б. Кияшко
Keyword(s):  
Phase Velocity ◽  
Elastic Waves ◽  
Numerical Solutions ◽  
Graphical Analysis ◽  
Stationary Waves ◽  
Periodic Waves ◽  
Analytical And Numerical Solutions ◽  
Self Similar ◽  
Impulsive Perturbations

STATIONARY AND SELF-SIMILAR WAVES IN A ROD WITH BIMODULAR NONLINEARITY, DISSIPATION AND DISPERSION V.E.Nazarov, S.B.Kiyasko The propagation of longitudinal elastic waves in a rod with bimodular nonlinearity, linear dissipation and geometric dispersion of the phase velocity is investigated. Analytical and numerical solutions for the profiles of stationary waves and self-similar periodic waves and impulsive perturbations propagating in such rod without changing the shape are obtained; their graphical analysis was carried out.

Self-similar collapse with non-radial motions

2006 ◽  
Vol 20 ◽  
pp. 1-4
Author(s):  
A. Nusser
Keyword(s):  
Self Similar
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