On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation-Reference-Cited by-同舟云学术

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

Published:2021-07-28 Issue: Volume: Page:1-23
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Coclite Giuseppe Maria¹,di Ruvo Lorenzo²

Affiliation:

1. Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, via E. Orabona 4, 70125 Bari, Italy. E-mail: giuseppemaria.coclite@poliba.it

2. Dipartimento di Matematica, Università di Bari, via E. Orabona 4, 70125 Bari, Italy. E-mail: lorenzo.diruvo77@gmail.com

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.

Publisher

IOS Press

Subject

General Mathematics

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