Jibin Li, Xiao-Biao Lin
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.
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Jibin Li Department of Mathematics Kunming University of Science and Technology Kunming, Yunnan, 650093, China email: jibinli@gmail.com |
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Xiao-Biao Lin Department of Mathematics, North Carolina State University Raleigh, NC 27695, USA email: xblin@math.ncsu.edu http://www4.ncsu.edu/~xblin |
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