Lower bounds on the radius of spatial analyticity of solution for KdV-BBM type equations
Tegegn E. Tesfahun A. Belayneh B.
July 2023Birkhauser
Nonlinear Differential Equations and Applications
2023#30Issue 4
In this paper, we analyze the evolution of the radius of spatial analyticity to the solutions of generalized Korteweg-de Vries, Benjamin–Bona–Mahony (KdV-BBM) equation and coupled system of generalized Benjamin–Bona–Mahony (BBM) equations, subject to initial data which is analytic with a fixed radius σ. It is shown that the uniform radius of spatial analyticity of solutions for both problems can not decay faster than ct- 2 / 3 as t→ ∞. We used the conservation law, contraction mapping principle and different multilinear estimates to obtain the results.
Almost conservation law , Coupled system of generalized BBM equations , Generalized KdV-BBM equation , Modified Gevrey space , Radius of analyticity
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Department of Mathematics, College of Sciences, Bahir Dar University, Bahir Dar, Ethiopia
Department of Mathematics, Nazarbayev University, Qabanbai Batyr Avenue 53, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics
Department of Mathematics
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