Multi-soliton Solution of the Integrable Coupled Nonlinear Schrodinger Equation of Manakov Type

1999/01/27 by Freddy P. Zen, Zen, Freddy P., Hendry I. Elim +1
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS) #hep-th #math-ph #math.DS #math.MP #nlin.PS #nlin.SI #patt-sol #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9901010

15 pages, LaTeX2e, PACS 42.65Sf

arxiv created 1999/02/07 · arxiv updated 2009/11/30

Abstract

The general multi-soliton solution of the integrable coupled nonlinear Schrodinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the bright and dark multi-soliton solution using inverse scattering method of ZS scheme. Elastic and inelastic collision of N-solitons solution of the equation are also discussed.

Related

• Soliton Solution of the Integrable Coupled Nonlinear Schrodinger Equation of Manakov Type
• Lax Pair Formulation and Multi-soliton Solution of the Integrable Vector\n Nonlinear Schrodinger Equation
• New Integrable Coupled Nonlinear Schrodinger Equations
• Multisoliton solutions of the vector nonlinear Schrödinger equation (Kulish-Sklyanin model) and the vector mKdV equation
• N-Dark-Dark Solitons in the Generally Coupled Nonlinear Schroedinger Equations