Global Conservative Solutions of the Two-Component μ -Hunter–Saxton System-Reference-Cited by-同舟云学术

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Global Conservative Solutions of the Two-Component μ -Hunter–Saxton System

Published:2021-10-16 Issue: Volume:2021 Page:1-10
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Shi Xiayang¹^ORCID,Liu Jingjing²,Zhang Hongyang³

Affiliation:

1. College of Software Engineering, Zhengzhou University of Light Industry, 450002 Zhengzhou, China

2. Department of Mathematics and Information Science, Zhengzhou University of Light Industry, 450002 Zhengzhou, China

3. College of Water Conservancy, North China University of Water Resources and Electric Power, Zhengzhou 450046, China

Abstract

In this paper, we establish global conservative solutions of the two-component

μ

-Hunter–Saxton system by the methods developed in “A. Bressan, A. Constantin, Global Conservative Solutions of the Camassa-Holm Equation, Arch. Ration. Mech. Anal. 183 (2), 215–239 (2007)” and “H. Holden, X. Raynaud, Periodic Conservative Solutions of the Camassa-Holm Equation, Ann. Inst. Fourier (Grenoble) 58(3), 945–988 (2008).”

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/1878991.pdf

Reference29 articles.

1. An integrable shallow water equation with peaked solitons

2. A New Integrable Shallow Water Equation

3. A shallow water equation on the circle

4. Generalized Hunter–Saxton equation and the geometry of the group of circle diffeomorphisms

5. Dynamics of Director Fields

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