Orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation

Xing-qian Ling and Wei-guo Zhang

Applied Mathematics and Computation, 2021, vol. 405, issue C

Abstract: In this paper, the orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation with two nonlinear terms is investigated. First, the existence of dn periodic solution to the equation is obtained. Then, according to the Floquet theory and Lame equation, the spectral properties of corresponding linear operators are given. Last, according to the classical theory of stability, the orbital stability of the dn periodic solution for the generalized symmetric regularized-long-wave equation is proved to be stable under the perturbation of period L.

Keywords: Generalized SRLW equation; Floquet theory; Lame equation; Dn periodic solution; Orbital stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003398

DOI: 10.1016/j.amc.2021.126249

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