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Zbl 1106.35088
Zayed, E.M.E.; Abourabia, A.M.; Gepreel, Khaled A.; Horbaty, M.M.El
On the rational solitary wave solutions for the nonlinear Hirota-Satsuma coupled KdV system. (English)
[J] Appl. Anal. 85, No. 6-7, 751-768 (2006). ISSN 0003-6811; ISSN 1563-504X/e

Summary: The objective is to investigate an algebraic method for constructing new rational exact wave soliton solutions in terms of hyperbolic and triangular functions for the generalized nonlinear Hirota-Satsuma coupled KdV systems of partial differential equations using symbolic software like Mathematica or Maple. These studies reveal that the generalized nonlinear Hirota-Satsuma coupled KdV system has a rich variety of solutions.

MSC 2000:: *35Q53 KdV-like equations
37K20 Relations with algebraic geometry, etc.
35C05 Solutions of PDE in closed form

Keywords: rational solitary wave solutions; symbolic computation

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Zentralblatt MATH Berlin [Germany]