2023
DOI: 10.1002/mana.202300158
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On the persistence of spatial analyticity for generalized KdV equation with higher order dispersion

Tegegne Getachew,
Achenef Tesfahun,
Birilew Belayneh

Abstract: Persistence of spatial analyticity is studied for solutions of the generalized Korteweg‐de Vries (KdV) equation with higher order dispersion where , are integers. For a class of analytic initial data with a fixed radius of analyticity σ0, we show that the uniform radius of spatial analyticity of solutions at time t cannot decay faster than as . In particular, this improves a recent result due to Petronilho and Silva [Math. Nachr. 292 (2019), no. 9, 2032–2047] for the modified Kawahara equation (, ), where t… Show more

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