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A remark on the existence of solitons for the perturbed korteweg-de vries equation

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Abstract

We consider a class of perturbations of the KdV equation and give a criterion for the persistence of solitonic solutions.

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References

  1. Arnold, V. I.,Mathematical Methods of Classical Mechanics, Springer-Verlag, New York, 1978.

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  2. Melnikov, V. K., On the stability of the center for time periodic perturbations,Trans. Moscow Math. Soc. 12, 1–57 (1963).

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  1. CEREMADE, Université Paris-Dauphine, Place de Lattre de Tassigny, 75775, Paris Cedex 16, France

    Thierry Paul

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  1. Thierry Paul
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Thierry, P. A remark on the existence of solitons for the perturbed korteweg-de vries equation. Lett Math Phys 30, 337–340 (1994). https://doi.org/10.1007/BF00751069

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  • DOI: https://doi.org/10.1007/BF00751069

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