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In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the… Click to show full abstract
In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the relation between some wave velocity and the solution’s period is researched. Lastly, we show that this type of solution is orbitally stable by periodic perturbations of the same wavelength as the underlying wave.
Keywords:
wave solution;
coupled kdv;
kdv equations;
solution;
periodic traveling;
traveling wave
Journal Title: Advances in Mathematical Physics
Year Published: 2020
Link to full text (if available)
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Journal Title: Advances in Mathematical Physics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!