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On the rational solitary wave solutions for the nonlinear Hirota-Satsuma coupled KdV system. (English) Zbl 1106.35088

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:

35Q53 KdV equations (Korteweg-de Vries equations)
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
35C05 Solutions to PDEs in closed form

Software:

Maple; Mathematica
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References:

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