The wave breaking criteria for a rod equation

In this paper, we investigate a rod equation containing the Camassa-Holm equation. Using the method to construct the Lyapunov functions, we obtain the wave breaking criteria of the rod equation, which involve the initial value and its derivative at a single point, and the norm H¹(mathbbR of the initial data. The work of Brandolese (2014) is further developed.

Authors

Changtai Zhou
Shaoyong Lai

Publication Details

Journal: Scientia Sinica Mathematica
Published: 2025-03-27
DOI: https://doi.org/10.1360/ssm-2024-0321
Primary Topic: Nonlinear Waves and Solitons
Type: article
Field-Weighted Citation Impact: 0.00

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article

The wave breaking criteria for a rod equation

Changtai Zhou, Shaoyong Lai

Mar 27, 2025

Scientia Sinica Mathematica

Nonlinear Waves and Solitons

article

The wave breaking criteria for a rod equation

Changtai Zhou, Shaoyong Lai

March 27, 2025article en

Abstract

Scientia Sinica Mathematica

Openalex Percentile: Top 95%

Nonlinear Waves and Solitons

DOI Open Access PDF OpenAlex

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The wave breaking criteria for a rod equation — Changtai Zhou, Shaoyong Lai · Scientia Sinica Mathematica (2025) | TGRS Research Map | TGRS