Persistence property and infinite propagation speed for the b -family of Fokas–Olver–Rosenau–Qiao ( b FORQ) model

Authors

Mingxuan Zhu
Zaihong Jiang
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2-2022

Abstract

In this paper, we study the b-family of Fokas–Olver–Rosenau–Qiao (bFORQ) model. We discuss the persistence property in weighted Sobolev spaces. The infinite propagation speed is also investigated. We prove that the strong solution u(x,t) does not have compact x-support for any t>0 in its lifespan, although the corresponding u0(x) is compactly supported. We also present a special property that if the initial datum m0(x)/≡0 is compactly supported in [a,c], then the endpoints do not move by the characteristic line.

Comments

http://www.elsevier.com/open-access/userlicense/1.0/

Recommended Citation

Zhu, Mingxuan, Zaihong Jiang, and Zhijun Qiao. "Persistence property and infinite propagation speed for the b-family of Fokas–Olver–Rosenau–Qiao (bFORQ) model." Applied Mathematics Letters 124 (2022): 107652. https://doi.org/10.1016/j.aml.2021.107652

Publication Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2021.107652