RT journal article
T1 Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation
A1 Rosa Silva, Rafael de la
A1 Gandarias Núñez, María Luz
A1 Bruzón Gallego, María de los Santos
A2 Matemáticas
K1 Partial differential equations
K1 Conservation laws
K1 Symmetries
K1 Equivalence transformations
AB In this paper we study the generalized variable-coefficient Gardner equations of the form $u_t + A (t) u^n u_x + C(t) u^(2 n) u_x + B (t) u_{xxx} + Q(t) u = 0$ . This class broadens out many other equations previously considered: Johnpillai and Khalique (2010), Molati and Ramollo (2012) and Vaneeva et al. (2015). The use of the equivalence group of this class allows us to perform an exhaustive study and a simple and clear formulation of the results. Some conservation laws are derived for the nonlinearly self-adjoint equations by using a general theorem on conservation laws. We also construct conservation laws by applying the multipliers method.
YR 2016
FD 2016
LK http://hdl.handle.net/10498/31095
UL http://hdl.handle.net/10498/31095
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026