The Novikov equation is a generalization of the Camassa–Holm one. It models the propagation of unidirectional shallow water waves on a flat bottom. In this paper, we prove the well-posedness of H2 and H3 solutions of the Cauchy problem, associated with this equation.
On the solutions for the Novikov equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. - ISSN 0219-8916. - STAMPA. - 21:01(2024), pp. 165-188. [10.1142/s0219891624500061]
On the solutions for the Novikov equation
Coclite, Giuseppe Maria
;
2024-01-01
Abstract
The Novikov equation is a generalization of the Camassa–Holm one. It models the propagation of unidirectional shallow water waves on a flat bottom. In this paper, we prove the well-posedness of H2 and H3 solutions of the Cauchy problem, associated with this equation.File in questo prodotto:
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