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Some New Exact Solutions of the Modified KdV Equation Using Lie Point Symmetry Method

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Abstract

In this paper, we obtain some new exact solutions of the modified Korteweg de Vries equation using Lie point symmetry method. The new obtained solutions are doubly periodic and periodic solutions. We confirm that this equation possesses many unusual features of distinct solutions. To our knowledge, the obtained solutions are new.

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Authors and Affiliations

  1. Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, Mansoura, 35516, Egypt

    A. H. Abdel Kader, M. S. Abdel Latif & H. M. Nour

Authors
  1. A. H. Abdel Kader
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  2. M. S. Abdel Latif
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  3. H. M. Nour
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Correspondence to A. H. Abdel Kader.

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Abdel Kader, A.H., Abdel Latif, M.S. & Nour, H.M. Some New Exact Solutions of the Modified KdV Equation Using Lie Point Symmetry Method. Int. J. Appl. Comput. Math 3 (Suppl 1), 1163–1171 (2017). https://doi.org/10.1007/s40819-017-0408-3

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  • DOI: https://doi.org/10.1007/s40819-017-0408-3

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