RT journal article T1 Generalized Camassa-Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions A1 Bruzón Gallego, María de los Santos A1 Gambino, Gaetana A1 Gandarias Núñez, María Luz A2 Matemáticas K1 generalized Camassa– K1 Holm equations K1 nonclassical symmetries K1 multiplier method K1 conservation laws K1 double reduction K1 homoclinic and heteroclinic orbits K1 multi-infinite series solutions AB In this paper, we consider a member of an integrable family of generalized Camassa-Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals. We derive nonclassical symmetries and we find new symmetries via the nonclassical method, which cannot be obtained by Lie symmetry method. We employ the multiplier method to construct conservation laws for this family of GCH equations. Using the conservation laws of the underlying equation, double reduction is also constructed. Finally, we investigate traveling waves of the GCH equations. We derive convergent series solutions both for the homoclinic and heteroclinic orbits of the traveling-wave equations, which correspond to pulse and front solutions of the original GCH equations, respectively. PB MDPI SN 2227-7390 YR 2021 FD 2021-05 LK http://hdl.handle.net/10498/24992 UL http://hdl.handle.net/10498/24992 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 21-sep-2026