@article{Ming2022, 
author = {Sen Ming and Jiayi Du and Yaxian Ma},
title = {The Cauchy problem for coupled system of the generalized Camassa-Holm equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {14738-14755},
keywords = {local well-posedness, coupled system, generalized Camassa-Holm equations, blow-up criterion},
url = {https://www.sciopen.com/article/10.3934/math.2022810},
doi = {10.3934/math.2022810},
abstract = {Local well-posedness for the Cauchy problem of coupled system of generalized Camassa-Holm equations in the Besov spaces is established by employing the Littlewood-Paley theory and a priori estimate of solution to transport equation. Furthermore, the blow-up criterion of solutions to the problem is illustrated. Our main new contribution is that the effects of dissipative coefficient    λ and exponent    b in the nonlinear terms to the solutions are analyzed. To the best of our knowledge, the results in Theorems 1.1 and 1.2 are new.}
}