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Some new soliton solutions of a semi-discrete fractional complex coupled dispersionless system
A H Abdel Kader1, F El Bialy2,3, H M Nour2
1Engineering Faculty, Mathematics and Engineering Physics Department, Mansoura University, Mansoura, Egypt. abass_hassan@mans.edu.eg.
Abstract:
In this paper, a semi-discrete fractional derivative complex coupled dispersionless system is proposed. The properties of M-fractional derivative are utilized to convert discrete M-fractional derivative system to a classical discrete differential system. Then the invariant subspace method (ISM) is utilized to find dark, bright, kink and W-shaped soliton solutions for the proposed system.
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