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A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations. (English) Zbl 1081.35100

Summary: An algebraic method is divised to uniformly construct a series of complecte new exact solutions for general nonlinear equations. For illustration, we apply the modified proposed method to revisit a complex coupled KdV system and succesfully construct a series of new exact solutions including the soliton solutions and elliptic doubly periodic solutions.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35C05 Solutions to PDEs in closed form
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References:

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