Dündar, NurhanPolat, Necat2024-04-242024-04-242021Dündar, N. ve Polat, N. (2021). Local well-posedness for a generalized integrable shallow water equation with strong dispersive term. Applied Mathematics and Information Sciences, 15(4), 429-436.1935-0090https://doi.org/10.18576/amis/150404https://hdl.handle.net/11468/23686In this paper, we consider a kind of new nonlinear dispersive wave equation, which is generalized integrable shallow water equation with strong dispersive term. Applying Kato's semigroup approch, we obtained local well-posedness of Cauchy problem for the generalized integrable shallow water equation with strong dispersive term in Sobolev space (Hs, s > (3/2)).eninfo:eu-repo/semantics/closedAccessIntegrable Shallow Water EquationKato's TheoryStrong Dispersive TermWell-PosednessArticle1544294362-s2.0-8511073798910.18576/amis/150404Q2