Nonsingular positon and complexiton solutions for the coupled KdV system
arXiv:nlin/0509018 · doi:10.1016/j.physleta.2005.11.047
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.
16 pages, 8 figures
References in corpus (4)
- Complexiton Solutions of the Toda Lattice Equation
- Coupled KdV equations derived from atmospherical dynamics
- Stable and unstable vector dark solitons of coupled nonlinear Schrödinger equations. Application to two-component Bose-Einstein condensates
- Classification of integrable polynomial vector evolution equations