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In spite of soliton was discovered firstly by J. S. Russell as an unusual wave on the water (1834), its rediscovery was made by Zabusky and Kruskal (1965) in connection with the problem of heat transfer in lattice of solids, stated by E. Fermi et. al, which poses the question about nonvalidity of the Fourier law (1822). M. Toda (1979) formulated that in nonlinear lattices the energy is mainly transported by solitons. In 1992 we found experimentally the Wave of Reflection and Conduction (WRC), that can present solitonic mechanism of heat transfer in solids. It has a threshold approximately 10 kW/cm2 and some solitary wave features: (1) the WRC amplitude is all the time of one sign, (2) its velocity UWRC is nearly constant; (3) it reflects from sample surfaces without changing the velocity. WRC-reversible photoinduced phenomenon which appears and could be important in many laser-surface interaction studies. As example, it could be important for the investigation of processes in the materials after pulse laser irradiation, especially in the case of pulse-periodic irradiation. WRC is excited by IR pulse laser and consist from the whole series of more than 20 solitary kind waves, which velocity drop twice starting from speed of sound to less than cm/s. WRC shows an universal character: it can translate the pulse of heat energy through the samples of any of 4 main crystal types and of some amorphous solids (glasses) in the manner different from usual diffusion. WRC characteristics were measured from variation: (1) of the optical constants (by reflection on the surface or absorption in the bulk); (2) of the temperature (by thermovision camera) on the sample surfaces; (3) of the pressure (by pressure pick up); (4) of the conduction on the surface and in the bulk (in the case of conducting samples). Results of investigations are agreeable in spite of experiments were made in 4 laboratories (Russia, France, Japan) by different schemes. A new V.I. Emel'janov's theory of defect recombination wave describes solitons with UWRC approximately cm/sec in solids, preconditioned by the action of powerful short laser pulse and could be considered as a possible physical mechanism of WRC.
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