Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Dynamical stability of the train of smooth solitary waves to the generalized two-component Camassa-Holm system

Authors: Ting Luo and Min Zhu
Journal: Quart. Appl. Math.
MSC (2010): Primary 35B35, 35G25
Published electronically: July 29, 2016
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The present study is concerned with the stability of solitary waves for the generalized two-component Camassa-Holm system derived formally as a model in the shallow-water waves. Using the property of almost monotonicity and the local coercivity of the solitary-wave solution, it is shown that the train of $ N$-smooth solitary waves of this system is dynamically stable to perturbations in energy space with a range of parameters.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2010): 35B35, 35G25

Retrieve articles in all journals with MSC (2010): 35B35, 35G25

Additional Information

Ting Luo
Affiliation: Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76019-0408
Email: ting.luo@mavs.uta.edu

Min Zhu
Affiliation: Department of Mathematics, Nanjing Forestry University, Nanjing 310037, People’s Republic of China
Email: zhumin@njfu.edu.cn

DOI: https://doi.org/10.1090/qam/1453
Keywords: Two-component Camassa-Holm system, solitary waves, orbital stability, monotonicity
Received by editor(s): April 14, 2016
Published electronically: July 29, 2016
Article copyright: © Copyright 2016 Brown University

Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2016 Brown University
Comments: qam-query@ams.org
AMS Website