Stationary soliton waves in a liquid with heat-conducting gas bubbles

Formation of an undamped soliton wave in the process of propagation of sound perturbations in a liquid with uniformly distributed gas bubbles is first revealed. The stationary soliton wave exists only in the presence of two pairs of competing factors, one of which is a balance between the nonlinearity of the medium and the linear wave dispersion, and another is a balance between the heat inflow into and outflow from the gas phase. The thermodynamic convertibility of dissipation of gas bubbles in the process of soliton wave propagation is revealed. The Korteweg-de Vries equation is derived for adiabatic bubbles. It differs radically from the Korteweg-de Vries equation obtained by Van Wijngaarden. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 84–88, June, 2006.