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Article
Mathematics, Applied
Jiali Zeng et al.
Summary: This study theoretically investigated the interaction of pure-quartic solitons resulting from the balance between positive Kerr nonlinearity and negative quartic dispersion. By deriving the analytic expression of the interaction potential based on the Hamiltonian of the nonlinear Schrodinger equation, it is possible to predict the evolution of the interacting pure-quartic solitons based on the shape of the potential curve.
APPLIED MATHEMATICS LETTERS
(2022)
Article
Optics
Yanhui Li et al.
Summary: The evolution of pure-quartic solitons (PQSs) is studied using the variational approach based on the Lagrangian of the system. The standard Gaussian trial solution provides an analytic solution for the stationary PQSs, but fails to capture the damping of the oscillation for breathing PQSs. To address this issue, a modified trial solution is introduced to account for dispersion radiation. The resulting modified evolution equations accurately reflect the radiation-induced oscillation damping of breathing PQSs.
OPTICS COMMUNICATIONS
(2022)
Article
Physics, Multidisciplinary
Y. Long Qiang et al.
Summary: This study presents analytical solutions for families of bright solitons with arbitrary dispersion orders, and practical methods to obtain the associated dispersion relations.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Optics
Y. Long Qiang et al.
Summary: Encouraged by recent experimental breakthroughs, this study investigates the types of bright solitons that can exist in the presence of a Kerr nonlinearity and quadratic, quartic, and sextic dispersion by examining the nature of the soliton tails. The study verifies the soliton shape through numerical calculations and finds analytic solutions for certain parameters. The results reveal the sensitivity of the interaction dynamics to the specific choice of dispersion parameters, providing a framework for experiments in this regime and for exploring parameter spaces with even higher dimensions.
Article
Optics
Shunyu Yao et al.
Summary: Pure quartic solitons (PQS) have been demonstrated as a new class of solitons in recent years, offering innovations in nonlinear optics and potential applications. Numerical investigation in a dispersion-engineered aluminum nitride (AlN) micro-cavity shows that PQS can be generated with the support of a well-designed shallow-trench waveguide structure. Spectral recoil and soliton self-frequency shift are observed in the PQS spectrum.
Article
Mathematics, Applied
Ross Parker et al.
Summary: In this work, the existence and spectral stability of multi-pulse solitary wave solutions to a nonlinear Schrodinger equation with both fourth and second-order dispersion terms are considered. A criterion for the existence of a single solitary wave solution is provided, and a discrete family of multi-pulse solutions is shown to exist. The spectral stability problem for these multi-pulses is reduced to computing the determinant of a matrix, leading to the conclusion that all multi-pulses are spectrally unstable.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Physics, Multidisciplinary
G. A. Tsolias et al.
Summary: The study investigates the interaction of solitary waves in the well-known phi (4) Klein-Gordon theory, identifying three distinct cases based on the competition of linear operators with different effects. Each case results in a different form of inter-wave interaction, including oscillatory, exponential, and linearly modulated exponential effects. The acceleration as a function of separation distance is calculated and tested to confirm agreement with predictions from ordinary and partial differential equations, while explanations for disparities are provided.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Optics
Shaozhen Liu et al.
Summary: Through the recently developed single-shot time-stretch dispersive Fourier transform technique, the buildup process of an all-polarization-maintaining soliton mode-locked fiber laser is investigated, revealing an optimal range of intra-cavity energy for self-starting and the evolution of pulse competitions, leading to the quick buildup of a dominant pulse against others and achieving single-pulse operation.
Article
Optics
Ravindra Bandara et al.
Summary: The study reveals that the generalized nonlinear Schrodinger equation with quartic dispersion supports infinitely many multipulse solitons in infinite families with different signatures. By studying reduced systems and families of connecting orbits with different symmetry properties, the overall structure of solitons can be understood.
Article
Optics
F. Kurtz et al.
Article
Optics
Antoine F. J. Runge et al.
Article
Physics, Multidisciplinary
Robert J. Decker et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
Article
Multidisciplinary Sciences
Z. Q. Wang et al.
NATURE COMMUNICATIONS
(2019)
Article
Optics
Kevin K. K. Tam et al.
Article
Physics, Multidisciplinary
Oliver Melchert et al.
PHYSICAL REVIEW LETTERS
(2019)
Article
Optics
Chih-Wei Lo et al.
Article
Optics
Hidetsugu Sakaguchi et al.
Article
Physics, Multidisciplinary
Xueming Liu et al.
PHYSICAL REVIEW LETTERS
(2018)
Article
Multidisciplinary Sciences
Andrea Blanco-Redondo et al.
NATURE COMMUNICATIONS
(2016)
Article
Optics
Samudra Roy et al.
Article
Physics, Multidisciplinary
M Stratmann et al.
PHYSICAL REVIEW LETTERS
(2005)
