%0 Journal Article %A Gandarias Núñez, María Luz %A Khalique, Chaudry Masood %T Conservation laws and solutions for a nonlinear deformed equation with variable coefficients %D 2022 %@ 2666-8181 %U http://hdl.handle.net/10498/27567 %X This paper studies the third-order nonlinear deformed equation with variable coefficients, which is a generalization of CH, DP and DGH equations. Firstly, we investigate its conservation laws for different values of the three variable coefficients in the equation. Thereafter, we find principal Lie algebra of the equation and then find the coefficients that extends the principal Lie algebra. Finally, we present one symmetry reduction case. © 2022 The Author(s) %K Nonlinear deformed equation %K Principal Lie algebra %K Lie symmetries %K Conservation laws %~ Universidad de Cádiz