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- W4387355881 abstract "The existence of smooth periodic traveling solutions in the Dullin-Gottwald-Holm (DGH) equation and the monotonicity of the period function are clarified. By introducing two suitable parameters, we show the existence of periodic travelling solutions of DGH equation in a concise way. The monotonicity of period function with respect to different variables are proved by using Chicone's criterion and the method developed by Geyer and Villadelprat. The problem of the spectral stability of smooth periodic waves in the DGH equation is discussed. Within the functional-analytic framework, we obtain a criterion for the spectral stability of smooth periodic traveling waves in DGH equation. In addition, we show the smooth periodic travelling solutions are orbitally stable under certain conditions." @default.
- W4387355881 created "2023-10-05" @default.
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- W4387355881 date "2023-10-02" @default.
- W4387355881 modified "2023-10-06" @default.
- W4387355881 title "Stability of smooth periodic travelling waves in the Dullin-Gottwald-Holm equation" @default.
- W4387355881 doi "https://doi.org/10.48550/arxiv.2310.01761" @default.
- W4387355881 hasPublicationYear "2023" @default.
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