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Generalized Nonlocal Symmetries of Two-Component Camassa-Holm and Hunter-Saxton Systems

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The two-component Camassa–Holm system and two-component Hunter–Saxton system are completely integrable models. In this paper, it is shown that these systems admit nonlocal symmetries by their geometric integrability. As an… Click to show full abstract

The two-component Camassa–Holm system and two-component Hunter–Saxton system are completely integrable models. In this paper, it is shown that these systems admit nonlocal symmetries by their geometric integrability. As an application, we obtain the recursion operator and conservation laws by using this kind of nonlocal symmetries.

Keywords: camassa holm; hunter saxton; component camassa; two component; nonlocal symmetries

Journal Title: Symmetry
Year Published: 2022

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