Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions

Abstract

We consider the problem of absence of backscattering in the transport of Manakov solitons on a line. The concept of transparent boundary conditions is used for modeling the reflectionless propagation of Manakov vector solitons in a one-dimensional domain. Artificial boundary conditions that ensure the absence of backscattering are derived and their numerical implementation is demonstrated.

References in corpus (1)

• Transparent boundary conditions for the sine-Gordon equation:Modeling the reflectionless propagation of kink solitons on a line

Cited by in corpus (4)

• Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
• Transparent boundary conditions for the nonlocal nonlinear Schroedinger equation: A model for reflectionless propagation of PT-symmetric solitons
• Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks
• Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks