@misc{10498/31095,
year = {2016},
url = {http://hdl.handle.net/10498/31095},
abstract = {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.},
keywords = {Partial differential equations},
keywords = {Conservation laws},
keywords = {Symmetries},
keywords = {Equivalence transformations},
title = {Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation},
doi = {10.1016/j.cnsns.2016.04.009},
author = {Rosa Silva, Rafael de la and Gandarias Núñez, María Luz and Bruzón Gallego, María de los Santos},
}