RT journal article
T1 Local conservation laws, symmetries and exact solutions for a Kudryashov-Sinelshchikov equation
A1 Bruzón Gallego, María de los Santos
A1 Recio Rodríguez, Elena
A1 Rosa Silva, Rafael de la
A1 Gandarias Núñez, María Luz
A2 Matemáticas
K1 conservation laws
K1 exact solutions
K1 multiplier method
K1 partial differential equations
K1 symmetries
AB In this paper, we consider a Kudryashov-Sinelshchikov equation that describespressure waves in a mixture of a liquid and gas bubbles taking into considerationthe viscosity of liquid and the heat transfer between liquid and gas bubbles.We show that this equation is rich in conservation laws. These conservation lawshave been found by using the direct method of the multipliers. We apply theLie group method to derive the symmetries of this equation. Then, by using theoptimal system of 1-dimensional subalgebras we reduce the equation to ordinarydifferential equations. Finally, some exact wave solutions are obtained byapplying the simplest equation method.
SN 1099-1476
YR 2018
FD 2018
LK http://hdl.handle.net/10498/33320
UL http://hdl.handle.net/10498/33320
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026