%0 Journal Article 
%A Bruzón Gallego, María de los Santos
%A Recio Rodríguez, Elena
%A Rosa Silva, Rafael de la
%A Gandarias Núñez, María Luz
%T Local conservation laws, symmetries and exact solutions for a Kudryashov-Sinelshchikov equation
%D 2018
%@ 1099-1476
%U http://hdl.handle.net/10498/33320
%X In this paper, we consider a Kudryashov-Sinelshchikov equation that describes
pressure waves in a mixture of a liquid and gas bubbles taking into consideration
the viscosity of liquid and the heat transfer between liquid and gas bubbles.
We show that this equation is rich in conservation laws. These conservation laws
have been found by using the direct method of the multipliers. We apply the
Lie group method to derive the symmetries of this equation. Then, by using the
optimal system of 1-dimensional subalgebras we reduce the equation to ordinary
differential equations. Finally, some exact wave solutions are obtained by
applying the simplest equation method.
%K conservation laws
%K exact solutions
%K multiplier method
%K partial differential equations
%K symmetries
%~ Universidad de Cádiz