Asymptotic Behavior of {ital N}-Soliton Trains of the Nonlinear Schr{umlt o}dinger Equation

Journal Article · Thu Oct 31 23:00:00 EST 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.3943· OSTI ID:389383

Gerdjikov, V S; Kaup, D J; Uzunov, I M; Evstatiev, E G ^[1]

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1. Institute for Nuclear Energy and Nuclear Research, Bulgaria Academy of Science, boul. Tzarigradsko shosse 72, 1784 Sofia (Bulgaria)

The generalization of the adiabatic perturbation approach of {ital N}-soliton interactions in the nonlinear Schr{umlt o}dinger equation (NLSE) has been shown to lead to the complex Toda lattice with {ital N} nodes. This allows us to predict the asymptotic behavior of trains of {ital N} solitonlike pulses with approximately equal amplitudes and velocities, but with arbitrary phase differences. These predictions agree very well with the numerical results. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 389383
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AMPLITUDES
ASYMPTOTIC SOLUTIONS
NONLINEAR PROBLEMS
PERTURBATION THEORY
SCHROEDINGER EQUATION
SOLITONS
TRAINS
VELOCITY