On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation

Article type: Research Article

Authors: Coclite, Giuseppe Maria^{a; *} | di Ruvo, Lorenzo^b

Affiliations: [a] Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy. E-mail: giuseppemaria.coclite@poliba.it | [b] Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy. E-mail: lorenzo.diruvo77@gmail.com

Correspondence: [*] Corresponding author. E-mail: giuseppemaria.coclite@poliba.it.

Abstract: The Rosenau–Korteweg-deVries–Kawahara equation describes the dynamics of dense discrete systems or small-amplitude gravity capillary waves on water of a finite depth. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem.

Keywords: Existence, uniqueness, stability, Rosenau–Korteweg-deVries–Kawahara type equation, Cauchy problem

DOI: 10.3233/ASY-211721

Journal: Asymptotic Analysis, vol. 129, no. 1, pp. 51-73, 2022