Equivalence Group for Generalized Kudryashov-Sinelshchikov Equations of Second Order.

The equivalence group for a class of nonlinear evolution partial differential equations, generalizing the second order Kudryashov-Sinelshchikov equation which describes pressure waves in liquid with bubbles, is calculated. Then a preliminary group classification of the equations in the considered class is obtained. After a simplification, based on the use of the found equivalence group, a complete group classification of these equations is carried out. [ABSTRACT FROM AUTHOR]