The properties of quantum solid solutions are investigated theoretically taking into account the interaction between waves of different nature: phonons and impuritons. The wave's interaction leads to a nonlinear Schrodinger equation that describes soliton -the impuriton-phonon, a new quasiparticle. As shown, the impuriton-phonons have velocity comparable to sound speed. Under heat step at the inclusion-matrix boundary a chemical potential step is formed. This leads to transition of 3 He atoms into the matrix with one of the following mechanisms: (i) phonon emission and band movement of the impuriton; (ii) threshold emission of the impuriton-phonon (the photoelectric effect analogy). It is shown that the narrow impuriton band cannot describe the rapid movement of the impuriton-phonon quasiparticle; alternative descriptions, channeling and induced transformation of the band, are proposed. It qualitatively explains the experiments with rapid dissolution of the 3 He phase inclusion in the 4 He matrix.