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- W2024852776 abstract "A nonlinear dispersive partial differential equation, which includes the famous Camassa–Holm and Degasperis–Procesi equations as special cases, is investigated. Although the H1-norm of the solutions to the nonlinear model does not remain constants, the existence of its weak solutions in lower order Sobolev space Hs with 1<s⩽32 is established under the assumptions u0∈Hs and ‖u0x‖L∞<∞. The local well-posedness of solutions for the equation in the Sobolev space Hs(R) with s>32 is also developed." @default.
- W2024852776 created "2016-06-24" @default.
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- W2024852776 date "2011-02-01" @default.
- W2024852776 modified "2023-10-13" @default.
- W2024852776 title "A model containing both the Camassa–Holm and Degasperis–Procesi equations" @default.
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- W2024852776 doi "https://doi.org/10.1016/j.jmaa.2010.09.012" @default.
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