Approximate kink-kink solutions for the ϕ6 model in the low-speed limit

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2024-05-30 DOI:10.3233/asy-241917

Abdon Moutinho

引用次数: 0

Abstract

In this paper, we consider the problem of elasticity and stability of the collision of two kinks with low speed v for the nonlinear wave equation known as the ϕ6 model in dimension 1+1. We construct a sequence of approximate solutions (ϕk(v,t,x))k∈N⩾2 for this model to understand the effects of thecollision in the movement of each soliton during a large time interval. The construction uses a new asymptotic method which is not only restricted to the ϕ6 model.

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ϕ6模型在低速极限下的近似扭结解

在本文中，我们考虑了维数为 1+1 的非线性波方程（称为 ϕ6 模型）中两个低速 v 扭结碰撞的弹性和稳定性问题。我们构建了该模型的近似解 (ϕk(v,t,x))k∈N⩾2 序列，以了解碰撞对大时间间隔内每个孤子运动的影响。该构造使用了一种新的渐近方法，它不仅限于ϕ6 模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.