ABSTRACT
This paper deals with the Cauchy problem of two-component Novikov equation, and the system was proposed by Popowicz. We mainly investigate the persistence properties of strong solutions in weighted spaces for a large class of moderate weights. Our results extends the work of Brandolese on persistence properties of the Camassa-Holm equation to more general system with cubic nonlinearity and interaction between the two components.
Acknowledgements
The authors are very grateful to the anonymous reviewers and editors for their careful reading and useful suggestions, which greatly improved the presentation of the paper.
Notes
No potential conflict of interest was reported by the authors.