Global conservative weak solutions for the two-component Novikov equation
نویسندگان
چکیده
In this paper, we study the existence of global conservative solutions to a two-component Novikov system. The system is an integrable multi-component extension equation. We develop method constructing Camassa–Holm equation due Bressan and Constantin case with genuine nonlinear interactions. Our approach based on formulation additional estimates relating new conservation laws
منابع مشابه
The investigation of local weak solutions for a generalized Novikov equation
which has a matrix Lax pair [, ] and is shown to be related to a negative flow in the Sawada-Kotera hierarchy. Several conservation quantities and a bi-Hamiltonian structure were found in []. Himonas and Holliman [] applied the Galerkin-type approximation method to prove the well-posedness of strong solutions for Eq. () in the Sobolev space Hs(R) with s > on both the line and the circle....
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2021
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0062918