Autor:	Zhang, Zixing, Liu, Q. P.
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	A two-component generalization of the Camassa-Holm equation and its reduction proposed recently by Xue, Du and Geng [Appl. Math. Lett. {\bf 146} (2023) 108795] are studied. For this two-component equation, its missing bi-Hamiltonian structure is constructed and a Miura transformation is introduced so that it may be regarded as a modification of the very first two-component Camassa-Holm equation. %[Phys. Rev. E {\bf 53} (1996) ; Lett. Math. Phys. {\bf 53 } (2006)]. Using a proper reciprocal transformation, a particular reduction of this two-component equation, which admits $N-$ peakon solution, is brought to the celebrated Burgers equation. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.04124 Zobrazit plný text záznamu View this record from Arxiv