N-Soliton Collision in the Manakov Model (General and Mathematical Physics)

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概要

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• We investigate soliton collisions in the Manakov model, which is a system of coupled nonlinear Schrodinger equations that is integrable via the inverse scattering method. Computing the asymptotic forms of the general N-soliton solution in the limits t → 〓∞, we elucidate a mechanism that factorizes an N-soliton collision into a nonlinear superposition of (^N_2) pair collisions with arbitrary order. This removes the misunderstanding that multiparticle effects exist in the Manakov model and provides a new "set-theoretical" solution to the quantum Yang-Baxter equation. As a by-product, we also obtain a new nontrivial relation among determinants and extended determinants.

• 理論物理学刊行会の論文
• 2004-02-25

著者

• Tsuchida T

  Graduate School Of Mathematical Sciences University Of Tokyo

• Tsuchida Takashi

  Department Of Metal Science And Technology Kyoto University

• TSUCHIDA Takayuki

  Graduate School of Mathematical Sciences, University of Tokyo

• Tsuchida Takashi

  Department Of Metal Science And Technology Kyoto University:kyoto Seika College

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