Wave breaking for the Degasperis–Procesi equation

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-11-22 DOI:10.1016/j.nonrwa.2024.104262

Tiantian Zhao , Kai Yan

引用次数: 0

Abstract

In the present study, we construct a new blow-up of strong solution to show wave breaking for the well-known Degasperis–Procesi equation. Unlike the previous related results for the shallow water wave models, no conservation law is used here.

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德加斯佩里斯-普罗切斯方程的破浪作用

在本研究中，我们为著名的 Degasperis-Procesi 方程构建了一个新的强解炸开，以显示波浪的破碎。与之前浅水波模型的相关结果不同，这里没有使用守恒定律。

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

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.