RT journal article T1 Conservation laws and solutions for a nonlinear deformed equation with variable coefficients A1 Gandarias Núñez, María Luz A1 Khalique, Chaudry Masood A2 Matemáticas K1 Nonlinear deformed equation K1 Principal Lie algebra K1 Lie symmetries K1 Conservation laws AB 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) PB Elsevier SN 2666-8181 YR 2022 FD 2022-06 LK http://hdl.handle.net/10498/27567 UL http://hdl.handle.net/10498/27567 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 12-nov-2026