Title
Deformations of KdV and soliton collisions
Date Issued
26 June 2020
Access level
open access
Resource Type
conference paper
Author(s)
Universidade Federal de Mato Grosso
Publisher(s)
Institute of Physics Publishing
Abstract
Some deformations of the integrable Korteweg-de Vries model (KdV) are associated to several towers of infinite number of asymptotically conserved charges. It has been shown that the standard KdV also exhibits infinite number of anomalous charges. In [9] there have been verified numerically the degrees of modifications of the charges around the soliton interaction regions, by computing numerically some representative anomalies, related to lowest order quasi-conservation laws, depending on the deformation parameters ϵ1,ϵ2, such that the standard KdV is recovered for ϵ1 = ϵ2=0). Here we present the numerical simulations for some values of the pair {ϵ1,ϵ2} around ϵ1 ≈ 0, ϵ2 ≈ 0, and show that the collision of two and three solitons are elastic. The KdV-type equations are quite ubiquitous and find many applications in several areas of non-linear science.
Volume
1558
Issue
1
Language
English
OCDE Knowledge area
Física de partículas, Campos de la Física
Scopus EID
2-s2.0-85088149340
Resource of which it is part
Journal of Physics: Conference Series
ISBN of the container
17426588
Conference
17th Meeting of Physics Lima 15 August 2018through 17 August 2018
Sources of information:
Directorio de Producción Científica
Scopus