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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 6-7
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Original Articles

On the rational solitary wave solutions for the nonlinear Hirota–Satsuma coupled KdV system

E. M. E Zayed Faculty of Science, Department of Mathematics, Zagazig University, EgyptCorrespondence[email protected]
,
A. M Abourabia Faculty of Science, Department of Mathematics, Menoufiya University, Egypt
,
Khaled A Gepreel Faculty of Science, Department of Mathematics, Zagazig University, Egypt
&
M. M.El Horbaty Faculty of Science, Department of Mathematics, Zagazig University, Egypt
Pages 751-768 | Received 26 Aug 2005, Accepted 14 Nov 2005, Published online: 28 Nov 2010

References

  • Chenglin Bai . 2002 . Exact solutions for nonlinear partial differential equation: a new approach. . PhysicsLetter A , 288 : 191 – 195 .
  • Dong Bo Cao . 2002 . New exact solutions for a class of nonlinear coupled differential equations . Physics Letter A , 296 : 27 – 27 .
  • Engui Fan . 2001 . Soliton solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled MKdV equation . Physics Letter A , 282 : 18 – 18 .
  • Fan Engui and Hon Benny , YC . 2002 . Double periodic solutions with Jocobi elliptic functions for two generalized Hirota–Satsuma coupled KdV system . Physics Letter A , 292 : 335 – 335 .
  • Zuntao , Fu , Liu and Liu . 2002 . New transformations and exact approach to find exact solutions to nonlinear equations . Physics Letter A , 299 : 507 – 507 .
  • Hirota , R and Satsuma , J . 1983 . A coupled KdV equation is one case of the the 4-reduction of KP hierarchy . Journal of the Physical Society of Japan , 51 : 3390 – 3390 .
  • Hon , YC and Fan , EG . 2004 . A series of new exact solutions for a complex KdV system . Chaos, Solitons and Fractals , 19 : 515 – 515 .
  • Khuri , SK . 2004 . A complex tanh-function method applied to nonlinear equation of schrodinger type . Chaos, Solitons and Fractals , 20 : 1037 – 1037 .
  • Li Biao , Chan Yong and Zhang , H . 2002 . Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV-Burgers-type equations with nonlinear terms of any order . Journal of Physics A: Mathematicae General , 35 : 8253 – 8253 .
  • Liu Xi-Qiong and JiangSong . 2002 . Secq−tanh q method and its applications . Physics Letter A , 298 : 253 – 253 .
  • Wu , Y , Geng , X , Hu , X and Zhu , S . 1999 . A general Hirota–Satsuma coupled Kortewege de Vries equation and Miura transformations . Physics Letter A , 255 : 259 – 259 .
  • Xie , F . 2004 . New travelling wave solutions of the generalized coupled Hirota–Satsuma KdV System . Chaos, Solitons and Fractals , 20 : 1005 – 1005 .
  • Zayed , EME , Zedan Hassan , A and Gepreel Khaled , A . 2004 . On the solitary wave solutions for nonlinearHirota–Satsuma coupled KdV of equations . Chaos, Solitons and Fractals , 22 : 285 – 285 .
  • Zayed , EME , Zedan Hassan , A and Gepreel Khaled , A . 2004 . On the solitary wave solutions for nonlinear Euler equations . Applicable Analysis , 83 : 1101 – 1101 .
  • Zayed , EME , Zedan Hassan , A and Gepreel Khaled , v . 2004 . Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations . International Journal of Nonlinear Sciences and Numerical Simulation , 5 : 221 – 221 .

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