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Solitary waves in a quartic nonlinear elastic rod
Affiliation:1. CNRS, Centrale Marseille, Aix-Marseille Univ, LMA, Marseille, France;2. Centrale Marseille, CNRS, Aix-Marseille Univ, M2P2 UMR 7340, Marseille Cedex 20, 13451, France;3. Polytech Marseille, Aix-Marseille Univ, UMR CNRS 7343, IUSTI, Marseille Cedex 13 13453 , France
Abstract:The bright and dark solitons described by the nonlinear Schrödinger equation (NLSE) are given for a quartic nonlinear elastic rod. It has also been found that the KdV soliton does not exist in this system.
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