Results 51 to 60 of about 2,478 (193)
Elliptic solitons and Heun’s equation [PDF]
, 2002 We find a new class of algebraic geometric solutions of Heun's equation with the accessory parameter belonging to a hyperelliptic curve. Dependence of these solutions from the accessory parameter as well as their relation to Heun's polynomials is studied.
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The nonlinear Schroedinger equation: Solitons dynamics
Journal of Differential Equations, 2010 In this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h->0. We prove that under suitable assumptions, the the soliton approximately follows the dynamics of a point particle, namely, the motion of its barycenter $q_h(t)$ satisfies the equation $ddot{q}_h(t)+\nabla V(q_h(t))=H_h(t ...
BENCI, VIERI +2 more
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Deterministic Fiber‐Optic Spectral Engineering Enables Three‐Color Multiplexed Two‐Photon Microscopy
Laser &Photonics Reviews, EarlyView.A simulation‐guided spectral‐engineering framework maps the nonlinear parameter space of a fiber laser platform to identify balanced three‐band excitation states. The resulting 960, 1080, and 1175 nm femtosecond pulses deliver nJ‐level energies for low‐cross‐talk chromatically multiplexed two‐photon microscopy.
Marvin Edelmann +5 more
wiley +1 more source
Journal of Advanced Research, 2020 In this paper, a system with controllable parameters for describing the evolution of polarization modes in nonlinear fibers is studied. Using the Horita’s method, the coupled nonlinear Schrödinger equations are transformed into the bilinear equations ...
Xiaoyan Liu +4 more
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Comments on whether nonlinear fractional partial differential equations have soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
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Broadband Parametric Amplification in AlGaAs‐on‐Insulator Nanowaveguides
Laser &Photonics Reviews, EarlyView.Harnessing the exceptional nonlinearity of AlGaAs‐on‐insulator nanowaveguides, four‐wave‐mixing parametric amplification achieves a record net on‐chip gain of 56 dB and a gain bandwidth exceeding 415 nm at telecom wavelengths. These results establish AlGaAsOI as a powerful platform for compact, high‐performance integrated nonlinear optical ...
Yanjing Zhao +6 more
wiley +1 more source
Frontiers of Bright CEP‐Stable Broadband Infrared Sources
Laser &Photonics Reviews, EarlyView.Bright CEP‐stable broadband infrared sources push the limits of ultrafast science by delivering exceptional brightness alongside few‐cycle durations and multi‐octave spectral coverage. This review highlights emerging architectures and nonlinear conversion strategies that scale power while preserving phase stability.
Ugaitz Elu, Jens Biegert
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Soliton Solutions for Quasilinear Schrödinger Equations [PDF]
Journal of Applied Mathematics, 2013 Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
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Laser &Photonics Reviews, EarlyView.Optical limiting in a nanomaterial‐polymer saturable absorber is harnessed as a functional intracavity degree of freedom, where pump‐controlled photothermal loss continuously reshapes the gain spectrum of rare‐earth ions, enabling non‐mechanical spectral engineering in an ultrafast fiber laser.
Maolin Dai +4 more
wiley +1 more source
Laser &Photonics Reviews, EarlyView.Chip‐based frequency combs are usually pumped from telecom wavelengths, far from the visible. This work instead pumps close to the visible with a Ti:sapphire laser ‐ the source behind the original optical frequency combs and now becoming chip‐integrable‐ and lets silicon‐nitride waveguides convert it into efficient, octave‐spanning visible‐to‐infrared ...
Abdullah Alabbadi +5 more
wiley +1 more source