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

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  • Ling, Xing-qian
  • Zhang, Wei-guo

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.

Suggested Citation

  • Ling, Xing-qian & Zhang, Wei-guo, 2021. "Orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    • Handle: RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003398
    DOI: 10.1016/j.amc.2021.126249
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    References listed on IDEAS

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    1. Bekir, Ahmet & Cevikel, Adem C., 2009. "New exact travelling wave solutions of nonlinear physical models," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1733-1739.
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