Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations

TL;DR

This paper investigates the existence of stable solitary wave solutions, known as solitons, for the Benjamin-Ono and fractional KdV equations, contributing to the understanding of nonlinear wave phenomena.

Contribution

It establishes the existence of hylomorphic solitons for these equations, providing new insights into their stability and structure.

Findings

Existence of hylomorphic solitons for Benjamin-Ono equation

Existence of hylomorphic solitons for fractional KdV equation

Advances understanding of solitary wave stability in nonlinear dispersive equations

Abstract

This paper concerns with the existence of solitons, namely stable solitary waves, for the Benjamin-Ono and the fractional KdV equations.