Quasi-Exact Solutions of the Equation for Description of Nonlinear Waves in a Liquid with Gas Bubbles

Nonlinear partial differential equation derived by Kudryashov and Sinelshchikov for description of waves in a liquid with gas bubbles is considered. The quasi-exact solutions of this equation are found with the first, second and third order poles. Values of the residual function norm corresponding to all quasi-exact solutions are presented. It is shown that most quasi-exact solutions are transformed into exact solutions of nonlinear differential equation under some additional conditions. The found solutions can be used for description of nonlinear waves in a liquid with gas bubbles.