Stability of Traveling Waves Based upon the Evans Function and Legendre Polynomials

One of the tools and techniques concerned with the stability of nonlinear waves is the Evans function which is an analytic function whose zeros give the eigenvalues of the linearized operator. Here, in this paper, we propose a direct approach, which is based essentially upon constructing the eigenfu...

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Bibliographic Details
Main Authors: H. M. Srivastava, H. I. Abdel-Gawad, Khaled M. Saad
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/3/846