DIFFUSION-KINETIC PROCESSES IN NON-EQUALIBLE THERMAL-PHYSICAL SYSTEMS WITH ENERGY SOURCES. PART 3. INTEGRABLE SYSTEMS, RESONANCE AND INTERACTION OF WAVES
He exact solutions are obtained for 2D and 3D systems “environment-energy source”, that describe the nonlinear superposition of two counter waves. Strong disparities are the main structural elements of the constructed temperature fields with causative wave-type energy sources acting along it. In particular, a case of causative layer of a finite width is presented. The article considers the harmonic and anharmonic by spatial variables modes of oscillation. The stability of a switching wave (kink solution) is studied between two equilibrium states of the system. The conditions of the occurrence of thermal resonance are determined. It was found that a small perturbation of the original kink solution generates one more wave, and the product of the velocities of movement of both waves is equal to the square of the propagation velocity of minor perturbations. The results of numerical simulations are presented, illustrating the physical processes that arise when vibrational-wave influence on the material.