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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 5
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Original Articles

A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations

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Pages 523-542 | Received 01 Aug 2004, Published online: 20 Aug 2006

References

  • Chenglin Bai . 2002 . Exact solutions for nonlinear partial differential equation: a new approach . Physics Letters A , 288 : 191 – 195 .
  • Dong , Bo Cao . 2002 . New exact solutions for a class of nonlinear coupled differential equations . Physics Letters A , 296 : 27 – 33 .
  • Engui Fan . 2001 . Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation . Physics Letters A , 282 : 18 – 22 .
  • Engui Fan . 2002 . A new method for find a series of traveling wave solution to a coupled Ito system . Journal of Physics Society, Japan , 71 : 2663 – 2668 .
  • Engui Fan . 2002 . Multiple traveling wave solutions of nonlinear evolution equations using aunifiex algebraic method . Journal of Physics A Mathematics and Genetics , 35 : 6853 – 6872 .
  • Engui Fan , Benny , YC and Hon . 2002 . Double periodic solutions with Jocobi elliptic functions for two generalized Hirota-Satsuma coupled KdV system . Physics Letters A , 292 : 335 – 337 .
  • Zuntao Fu , Skikuo Liu and Shida Liu . 2002 . New transformations and exact approach to find exact solutions to nonlinear equations . Physics Letters A , 299 : 507 – 512 .
  • Hirota , R and Satsuma , J . 1983 . A coupled KdV equation is one case of the 4-reduction of KP hierarchy . Journal of Physics Society, Japan , 51 : 3390 – 3397 .
  • Hon , YC and Fan , EG . 2004 . A series of new exact solutions for a complex KdV system . Chaos, Solitons and Fractals , 19 : 515 – 525 .
  • Biao Li , Yong Chan and Zhang , H . 2002 . Explicit exact solutions for new general two-dimensional KdV-Burgers-type equations with nonlinear terms of any order . Journal of Physics A, Mathematics and Genetics , 35 : 8253 – 8265 .
  • Xi-Qiong Liu and Song Jiang . 2002 . Sec q – tanh q method and its applications . Physics Letters A , 298 : 253 – 258 .
  • Mingling Wang , Yubin Zhou and Zhibin Li . 1996 . Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics . Physics Letters A , 216 : 67 – 75 .
  • Zhenya Yan . 2002 . A transformation with symbolic computation and bundat, new soliton-like solution for the (2 + 1)-dimensional generalized Burgers equations . Journal of Physics A, Mathematics and Genetics , 35 : 9923 – 9930 .
  • Wu , Y , Geng , X , Hu , X and Zhu , S . 1999 . A general Hirota Satsuma coupled Kortewege de Vries equation and Miura transformations . Physics Letters A , 255 : 259 – 264 .
  • Zayed , EME , Hassan , A , Zedan and Khaled , AGepreel . 2004 . On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV of equations . Chaos, Solitons and Fractals , 22 : 285 – 303 .
  • Zayed EME Hassan A Zedan Khaled A Gepreel On the solitary wave solutions for nonlinear Euler equations Applicable Analysis in press

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