Nonsingular positon and complexiton solutions for the coupled KdV system
Exactly Solvable and Integrable Systems
2015-06-26 v1 Pattern Formation and Solitons
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0509018,
title = {Nonsingular positon and complexiton solutions for the coupled KdV system},
author = {H. C. Hu and Bin Tong and S. Y. Lou},
journal= {arXiv preprint arXiv:nlin/0509018},
year = {2015}
}
Comments
16 pages, 8 figures