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A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations |
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| Authors: | E M E Zayed H A Zedan K A Gepreel |
| Institution: | 1. Mathematics Department , Faculty of Science, Zagazig University , Zagazig, Egypt emezayed@hotmail.com zedanhassan@hotmail.com;3. Mathematics Department , Faculty of Education , Kafer El-Sheikh, Egypt;4. Mathematics Department , Faculty of Science, Zagazig University , Zagazig, Egypt |
| Abstract: | In this paper an algebraic method is devised to uniformly construct a series of complete new exact solutions for general nonlinear equations. For illustration, we apply the modified proposed method to revisit a complex coupled KdV system and successfully construct a series of new exact solutions including the soliton solutions and elliptic doubly periodic solutions. |
| Keywords: | Complex coupled KdV equations Soliton wave solutions Modified proposed method Elliptic- doubly-periodic solutions Symbolic software like Mathematica or Maple AMS Subject Classifications: 35K99 35P05 35P99 |