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

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

Acknowledgment

The authors would like to thank the referee for his suggestions and comments on this article.