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2001 (1)
1999 (1)
1Author    Woo-Pyo Hong, Young-Dae JungRequires cookie*
 Title    New Non-traveling Solitary Wave Solutions for a Second-order Korteweg-de Vries Equation  
 Abstract    Modeling the propagation of two different wave modes simultaneously, the second-order KdV equation is of current interest. Applying a tanh-typed method with symbolic computation, we have found certain new analytic soliton-typed solutions which go beyond the the previously obtained traveling wave solutions. 
  Reference    Z. Naturforsch. 54a, 375—378 (1999); received March 12 1999 
  Published    1999 
  Keywords    Nonlinear Evolution Equations, Second-order KdV Equation, Solitonic Solutions, Symbolic Computation 
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 TEI-XML for    default:Reihe_A/54/ZNA-1999-54a-0375.pdf 
 Identifier    ZNA-1999-54a-0375 
 Volume    54 
2Author    Engui FanRequires cookie*
 Title    Travelling Wave Solutions for Two Generalized Hirota-Satsuma Coupled KdV Systems  
 Abstract    In this paper we present an extended tanh method that utilizes symbolic computations to obtain more travelling wave solutions for two generalized Hirota-Satsuma coupled KdV systems in a unified way. The key idea of this method is to taJke full advantage of a Riccati equation involving a parameter and use its solutions to replace the tanh-function by the tanh method. It is quite interesting that the numbers and types of the travelling wave solutions can be judged from the sign of the parameter. In this paper we investigate the two generalized Hirota-Satsuma coupled KdV systems 
  Reference    Z. Naturforsch. 56a, 312—318 (2001); received January 3 2001 
  Published    2001 
  Keywords    Generalized Hirota-Satsuma Coupled KdV System, Travelling Wave Solution, Symbolic Computation 
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 TEI-XML for    default:Reihe_A/56/ZNA-2001-56a-0312.pdf 
 Identifier    ZNA-2001-56a-0312 
 Volume    56