期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 457, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.physd.2023.133979
关键词
Fractional Camassa-Holm equations; Solitary waves; Blow-up
A numerical study on the fractional Camassa-Holm equations is conducted to construct smooth solitary waves and investigate their stability. The long-time behavior of solutions for general localized initial data from the Schwartz class of rapidly decreasing functions is also studied. Additionally, the appearance of dispersive shock waves is explored.
A numerical study of fractional Camassa-Holm equations is presented. Smooth solitary waves are constructed numerically. Their stability is studied as well as the long time behavior of solutions for general localized initial data from the Schwartz class of rapidly decreasing functions. The appearance of dispersive shock waves is explored.
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