A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations

Authors: Zayed, E. M. E.1; Zedan, H. A.2; Gepreel, K. A.1

Source: Applicable Analysis, Volume 84, Number 5, May 2005 , pp. 523-542(20)

Publisher: Taylor and Francis Ltd

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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

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810412331282961

Affiliations: 1: Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt 2: Mathematics Department, Faculty of Education, Kafer El-Sheikh, Egypt

Publication date: 2005-05-01

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