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A method for solving a quasilinear nonelliptical equation of the second order is developed and we give classification and parametrization of simple elements of the equation.We find exact solutions of an equation for potential stationary…

General Physics · Physics 2016-12-01 M. W. Kalinowski

This paper continues the study of the validity of the Zakharov model describing Langmuir turbulence. We give an existence theorem for a class of singular quasilinear equations. This theorem is valid for well-prepared initial data. We apply…

Analysis of PDEs · Mathematics 2015-06-26 Benjamin Texier

A model of phase transitions with coupling between the order parameter and its gradient is proposed. It is shown, that this nonlinear model is suitable for the description of phase transitions accompanied by the formation of spatially…

Statistical Mechanics · Physics 2013-03-19 B. I. Lev , A. G. Zagorodny

We establish a steady-state theory for nonlinear optical conductivity in pseudo-Hermitian systems. We derive compact formulas for the first and second order conductivity tensors in both the velocity and length gauges and prove their exact…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 S. Sajad Dabiri , Reza Asgari

We introduce a new, reduced nonlinear oscillator model governing the spontaneous creation of sharp pulses in a damped, driven, cubic nonlinear Schroedinger equation. The reduced model embodies the fundamental connection between mode…

Pattern Formation and Solitons · Physics 2016-03-01 Hossein Taheri , Pascal Del'Haye , Ali A. Eftekhar , Kurt Wiesenfeld , Ali Adibi

Linear and nonlinear ion-acoustic waves are studied in a fluid model for non-relativistic, unmagnetized quantum plasma with electrons with an arbitrary degeneracy degree. The equation of state for electrons follows from a local Fermi-Dirac…

Plasma Physics · Physics 2016-03-09 Fernando Haas , Shahzad Mahmood

Parametric nonlinear optical processes allow for the generation of new wavelengths of coherent electromagnetic radiation. Their ability to create radiation that is widely tunable in wavelength is particularly appealing, with applications…

Optical fibers have been enabling numerous distinguished applications involving the operation and generation of light, such as soliton transmission, light amplification, all-optical switching and supercontinuum generation. The active…

Phase transitions and the associated symmetry breaking are at the heart of many physical phenomena. Coupled systems with multiple interacting degrees of freedom provide a fertile ground for emergent dynamics that is otherwise inaccessible…

We review the recent progress in experimental and theoretical research of interactions between the acoustic, magnetic and plasmonic transients in hybrid metal-ferromagnet multilayer structures excited by ultrashort laser pulses. The main…

Mesoscale and Nanoscale Physics · Physics 2016-10-27 Vasily V. Temnov , Ilya Razdolski , Thomas Pezeril , Denys Makarov , Denis Seletskiy , Alexey Melnikov , Keith A. Nelson

This work deals with the convergence analysis of parabolic perturbations to quasilinear wave equations on smooth bounded domains. In particular, we consider wave equations with nonlinearities of quadratic type, which cover the two classical…

Analysis of PDEs · Mathematics 2021-09-29 Barbara Kaltenbacher , Vanja Nikolić

Precision measurement of non-linear observables is an important goal in all facets of quantum optics. This allows measurement-based non-classical state preparation, which has been applied to great success in various physical systems, and…

Quantum Physics · Physics 2017-10-20 G. A. Brawley , M. R. Vanner , P. E. Larsen , S. Schmid , A. Boisen , W. P. Bowen

In this report, we lay the foundation for amplitude noise and phase noise analysis in nonlinear devices. We build a theoretical framework that helps us to analyze extremely difficult problems which include both nonlinearity and noise of…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Meysam Bahmanian

A phase-controlled ultralow-threshold phonon laser is proposed by using tunable optical amplifiers in coupled-cavity-optomechanical system. Giant enhancement of coherent photon-phonon interactions is achieved by engineering the strengths…

Quantum Physics · Physics 2018-09-10 Yan-Lei Zhang , Chang-Ling Zou , Chuan-Sheng Yang , Hui Jing , Chun-Hua Dong , Guang-Can Guo , Xu-Bo Zou

We calculated the phase diagram of a continuous system of hard spheres loaded in a quasi-one dimensional bichromatic optical lattice. The wavelengths of both lattice-defining lasers were chosen to model an incommensurate arrangement.…

Quantum Gases · Physics 2015-04-24 M. C. Gordillo , C. Carbonell-Coronado , F. De Soto

We address the exploitation of an optical parametric oscillator (OPO) in the task of mitigating, at least partially, phase noise produced by phase diffusion. In particular, we analyze two scenarios where phase diffusion is typically…

The nonlinear three-wave interaction process at the heart of the parametric decay process is studied by launching counter-propagating Alfv\'en waves from antennas placed at either end of the Large Plasma Device (LAPD). A resonance in the…

Plasma Physics · Physics 2013-05-08 S. Dorfman , T. A. Carter

Nonlinear optical methods are becoming ubiquitous in many areas of modern photonics. They are, however, often limited to a certain range of input parameters, such as pulse energy and average power, since restrictions arise from, for…

Coherent nonlinear optical micro-spectroscopy is a frequently used tool in modern material science, as it is sensitive to many different local observables, which comprise, among others, crystal symmetry and vibrational properties. The…

Optics · Physics 2023-04-12 Kai J. Spychala , Zeeshan H. Amber , Lukas M. Eng , Michael Rüsing

Optomechanical oscillators (OMOs) combine the co-existing high quality factor mechanical and optical resonances in an integrated device to realize low phase noise RF oscillations. While several attempts have been demonstrated towards…

Optics · Physics 2019-04-08 Cijy Mathai , Sunil A. Bhave , Siddharth Tallur