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Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions
2021
Mathematics
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
doi:10.3390/math9091009
fatcat:7n2qiajyqffgtep6mu5j66mrrq