Symmetry classification and conservation laws for higher order Camassa-Holm equation
Mehdi Nadjafikhah, Vahid Shirvani-Sh
TL;DR
This paper applies Lie symmetry methods to analyze the higher order Camassa-Holm equation, classifying its symmetries, solutions, and conservation laws to deepen understanding of its mathematical structure.
Contribution
It provides a comprehensive symmetry analysis, including optimal systems, invariant solutions, and conservation laws for the higher order Camassa-Holm equation, which was not previously studied in detail.
Findings
Symmetry group and optimal system identified
Group invariant solutions and symmetry reductions classified
Conservation laws derived for the equation
Abstract
Lie symmetry group method is applied to study for the higher order Camassa-Holm equation. The symmetry group and its optimal system are given. Furthermore, preliminary classification of its group invariant solutions, symmetry reduction and nonclassical symmetries are investigated. Finally conservation laws for the higher order Camassa-Holm equation are presented.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models