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On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations
Journal article   Peer reviewed

On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations

EME Zayed, H A Zedan and K A Gepreel
Chaos, solitons and fractals, Vol.22(2), pp.285-303
01/10/2004
DOI: https://doi.org/10.1016/j.chaos.2003.12.045

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
In this paper an algebraic method is devised to construct new exact wave soliton solutions for two generalized nonlinear Hirota-Satsuma coupled KdV systems of partial differential equations using symbolic software like Mathematica or Maple in terms of sn(x) - cn(x) Jacobic elliptic functions and sec(q) - tanh(q) q-deformed hyperbolic functions based on the idea of the homogeneous balance method. (C) 2004 Elsevier Ltd. All rights reserved.

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