Nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons in a linear external potential

• Published in: Nonlinear dynamics Vol. 112; no. 7; pp. 5611 - 5619
• Main Authors: Zhao, Jinglei, Zhu, Haiping
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.04.2024; Springer Nature B.V
• Subjects: Amplitudes; Automotive Engineering; Classical Mechanics; Control; Dynamical Systems; Electrons; Engineering; Linear phase; Mechanical Engineering; Nonlinearity; Optics; Original Paper; Solitary waves; Vibration; Variable coefficient; Barrier or well; 3D coupled Gross–Pitaevskii equation
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-024-09328-x

Nondegenerate solitons were reported in the localized case, and yet partially nonlocal nonautonomous nondegenerate vector solitons are hardly studied. Our work aims to study the nonlinear tunnelling of 3D partially nonlocal nonautonomous nondegenerate vector solitons based on a 3D coupled nonautonomous Gross–Pitaevskii equation with a linear external potential. With the aid of a simplified transformation and solutions of this model by way of the bilinear method, we reveal 3D partially nonlocal nonautonomous nondegenerate vector solitons and study their nonlinear tunnelling effect under the exact balance conditions among functions for the diffraction, nonlinearity, linear potential and linear phase. After tunnelling through the barrier/well, two vector components both magnify/attenuate their amplitudes to form the peaks/dips, then attenuate/increase their amplitudes and recover their original shapes, respectively. These results may be helpful to further comprehend all-optical switches and logic.