Fe b 20 03 N-soliton collision in the Manakov model

@inproceedings{Tsuchida2008FeB2,
  title={Fe b 20 03 N-soliton collision in the Manakov model},
  author={Takayuki Tsuchida},
  year={2008}
}
We investigate soliton collisions in the Manakov model which is a system of coupled nonlinear Schrödinger equations integrable via the inverse scattering method. Computing the asymptotic forms of the general N -soliton solution as t → ∓∞, we elucidate a mechanism which factorizes an N -soliton collision into nonlinear superposition of ( N 2 ) pair collisions in arbitrary order. This removes the misunderstanding that multiparticle effects exist in the Manakov model. As a byproduct, we also… CONTINUE READING

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