Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non-Linearity

Ngaka John Nchejane and Mabatho Thakedi

Advances in Mathematical Physics, 2026, vol. 2026, 1-9

Abstract: This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non-linearity and variable dispersion. By employing numerical simulations of a system of coupled non-linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence soliton stability and interaction. Our results demonstrate that spatial modulation of non-linearity can control the velocity and amplitude of wave packets, providing a mechanism for soliton trapping or acceleration. Furthermore, we examine the role of the dispersion-to-non-linearity ratio in maintaining the structural integrity of the coupled waves over long distances. These findings provide insights into optical signal processing in non-uniform fibres and matter-wave dynamics in Bose–Einstein condensates with varying trap potentials.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4573192

DOI: 10.1155/admp/4573192

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