Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 86, pp. 1-11.

Title: Travelling wave solutions for the Painleve-integrable  coupled
       KdV equations
  
Authors: Jibin Li  (Kunming Univ. Science and Tech., Yunnan, China)
         Xiao-Biao Lin (North Carolina State Univ., Raleigh, NC, USA)

Abstract: 
 We study the travelling wave solutions for a system of coupled KdV
 equations derived by Lou et al [11]. In that paper,
 they found 5 types of Painleve integrable systems for the
 coupled KdV system.
 We show that each of them can be reduced to a partially or
 completely uncoupled system, through which the dynamical
 behavior of travelling wave solutions can be determined.
 In some parameter regions, exact formulas for periodic and
 solitary waves can be obtained while in other cases, bounded
 travelling wave solution are discussed.
 
Submitted February 15, 2008. Published June 10, 2008.
Math Subject Classifications: 34A05, 34B99, 34C20, 34C25, 34C37, 35B99, 35C15.
Key Words: Coupled KdV equations; Paileve integrable systems; 
           bounded solutions; solitary waves; periodic waves.