Robustness of the absolute Rosenau-Hyman |K |(p, p) equation with non-integer p

被引：4

作者：

Garralon-Lopez, Ruben ^{[1
]}

Rus, Francisco ^{[1
]}

Villatoro, Francisco R. ^{[1
]}

机构：

[1] Univ Malaga, Escuela Ingn Ind, Dept Lenguajes & Ciencias Comp, Malaga 29071, Spain

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 169卷

关键词：

Compactons; Nonlinear dispersion; Numerical simulation; COMPACTONS;

D O I：

10.1016/j.chaos.2023.113216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The most widely studied equation with compactons is the Rosenau-Hyman K(p, p) equation. For non-integer p the solution becomes complex-valued in compacton collisions. In order to cope with this problem, the nonlinearity up can be substituted by |u|p-1 u, so the solution is always real-valued; the result is the so-called absolute K(p, p) equation, |K|(p, p). Here, the first numerical simulations of the collisions between compactons and anticompactons for the |K|(p, p) equation are presented. The collision is robust in both compacton- compacton and compacton-anticompacton collisions even when very small artificial viscosity is used. Our results stress that, in physical applications, the |K|(p, p) should be preferred to the K(p, p) equation.

引用

页数：14

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