Local Well-Posedness for a Generalized Integrable Shallow Water Equation with Strong Dispersive Term

Authors

Nurhan Du ̈ndar, Department of Mathematics, Dicle University, 21280, Diyarbakir, TurkeyFollow
Necat Polat, Department of Mathematics, Dicle University, 21280, Diyarbakir, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

In 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)).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150404

Recommended Citation

Du ̈ndar, Nurhan and Polat, Necat (2021) "Local Well-Posedness for a Generalized Integrable Shallow Water Equation with Strong Dispersive Term," Applied Mathematics & Information Sciences: Vol. 15: Iss. 4, Article 4.
DOI: http://dx.doi.org/10.18576/amis/150404
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss4/4