Nonsingular positon and complexiton solutions for the coupled KdV system

Details Nonsingular positon and complexiton solutions for the coupled KdV system Nonsingular positon and complexiton solutions for the coupled KdV system

2005-09-07

arxiv.org/abs/nlin/0509018v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, 8 figures

Scientific paper

Taking the coupled KdV system as a simple example, analytical and nonsingular complexiton solutions are firstly discovered in this letter for integrable systems. Additionally, the analytical and nonsingular positon-negaton interaction solutions are also firstly found for S-integrable model. The new analytical positon, negaton and complexiton solutions of the coupled KdV system are given out both analytically and graphically by means of the iterative Darboux transformations.

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