Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

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 met...

Full description

Bibliographic Details
Main Authors: Maria Santos Bruzón, Gaetana Gambino, Maria Luz Gandarias
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
generalized Camassa–Holm equations
nonclassical symmetries
multiplier method
conservation laws
double reduction
homoclinic and heteroclinic orbits
Online Access:https://www.mdpi.com/2227-7390/9/9/1009

Internet

https://www.mdpi.com/2227-7390/9/9/1009

Similar Items