A5024261145- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Machine Learning and Data Classification
- Advanced Fiber Laser Technologies
- HIV/AIDS Research and Interventions
- Data Stream Mining Techniques
- Global Maternal and Child Health
- HIV/AIDS Impact and Responses
- Machine Learning and Algorithms
- Tuberculosis Research and Epidemiology
- Health Systems, Economic Evaluations, Quality of Life
- Neural dynamics and brain function
- Advanced Optical Sensing Technologies
- Poverty, Education, and Child Welfare
- Dust and Plasma Wave Phenomena
- Fractional Differential Equations Solutions
- Advanced Mathematical Physics Problems
- HIV, Drug Use, Sexual Risk
- Child Nutrition and Water Access
- Pneumonia and Respiratory Infections
- Circadian rhythm and melatonin
- Anomaly Detection Techniques and Applications
- Explainable Artificial Intelligence (XAI)
- Cell Image Analysis Techniques
- Advanced Fluorescence Microscopy Techniques
University of Technology Sydney
2021-2024
Burnet Institute
2017-2021
The University of Sydney
2008-2019
Monash University
2018-2019
University College London
2019
Australian National University
2010-2016
SUNY Downstate Health Sciences University
2016
Westmead Hospital
2010
We present an explicit analytic form for the two-breather solution of nonlinear Schr\"odinger equation with imaginary eigenvalues. It describes various combinations Akhmediev breathers and Kuznetsov-Ma solitons. The degenerate case, when two eigenvalues coincide, is quite involved. standard inverse scattering technique does not generally provide answer to this scenario. show here that can still be found as a special limit general second-order expression appears mixture polynomials...
Using the Darboux transformation technique and numerical simulations, we study hierarchy of rational solutions nonlinear Schr\"odinger equation that can be considered as higher order rogue waves in this model. This analysis reveals existence wave clusters with a high level symmetry $(x,t)$ plane. These structures arise naturally when shifts scheme are taken to eigenvalue dependent. We have found single-shell where central is surrounded by ring first peaks on
Biophysical modeling of neuronal networks helps to integrate and interpret rapidly growing disparate experimental datasets at multiple scales. The NetPyNE tool (www.netpyne.org) provides both programmatic graphical interfaces develop data-driven multiscale network models in NEURON. clearly separates model parameters from implementation code. Users provide specifications a high level via standardized declarative language, for example connectivity rules, create millions cell-to-cell...
We present a systematic classification for higher-order rogue-wave solutions of the nonlinear Schr\"odinger equation, constructed as superposition first-order breathers via recursive Darboux transformation scheme. This hierarchy is subdivided into structures that exhibit varying degrees radial symmetry, all arising from independent freedom associated with physical translations component breathers. reveal general rules required to produce these fundamental patterns. Consequently, we are able...
We study the infinite integrable nonlinear Schrödinger equation hierarchy beyond Lakshmanan-Porsezian-Daniel which is a particular (fourth-order) case of hierarchy. In particular, we present generalized Lax pair and soliton solutions, plane wave Akhmediev breathers, Kuznetsov-Ma periodic rogue solutions for this infinite-order find that "even- order" equations in set affect phase "stretching factors" while "odd-order" velocities. Hence odd-order can be real functions, even-order are always complex.
We present the fifth-order equation of nonlinear Schr\"odinger hierarchy. This integrable partial differential contains dispersion and terms related to it. Lax pair use Darboux transformations derive exact expressions for most representative soliton solutions. set includes two-soliton collisions degenerate case solution, as well beating structures composed two or three solitons. Ultimately, new quintic operator it adds standard (NLSE) are found primarily affect velocity solutions, with...
We analyze the quintic integrable equation of nonlinear Schr\"odinger hierarchy that includes fifth-order dispersion with matching higher-order terms. show a breather solution this can be converted into nonpulsating soliton on background. calculate locus eigenvalues complex plane which convert breathers solitons. This transformation does not have an analog in standard equation. also study interaction between new type solitons, as well and these
Rogue waves in fluid dynamics and optical waveguides are unexpectedly large displacements from a background state, occur the nonlinear Schr\"odinger equation with positive linear dispersion regime of cubic nonlinearity. derivative calculated this work as long-wave limit breather (a pulsating mode), can negative nonlinearity if sufficiently strong self-steepening is also present. This critical magnitude shown to be precisely threshold for onset modulation instabilities plane wave, providing...
We present breather solutions of the quintic integrable equation Schr\"odinger hierarchy. This has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darboux transformation, we derive first-order second-order solutions. These include first- rogue-wave To some extent, these are analogous with corresponding (NLSE) However, presence free parameter in results specific that have no analogues NLSE case. analyze new features
Based on time-dependent Hartree-Fock theory, a new inverse quasifission mechanism is proposed to produce neutron-rich transfermium nuclei in the collision of prolate deformed actinides. Calculations show that tip one nucleus with side other results nucleon flux toward latter. The roles evaporation and impact parameter, as well time, are discussed.
By numerically applying the recursive Darboux transformation technique, we study high-order rational solutions of nonlinear Schr\"odinger equation that appear spatiotemporally as triangular arrays Peregrine solitons. These can be considered rogue wave cascades and complement previously discovered circular cluster forms. In this analysis, reveal a general parametric restriction for their existence investigate interplay between cascade As result, demonstrate how to generate many more hybrid...
The long wave–short wave resonance model arises physically when the phase velocity of a matches group short wave. It is system nonlinear evolution equations solvable by Hirota bilinear method and also possesses Lax pair formulation. “Rogue wave” modes, algebraically localized entities in both space time, are constructed from breathers singular limit involving “coalescence” wavenumbers regime. In contrast with extensively studied Schrödinger case, frequency breather cannot be real must...
Mammalian sleep varies widely, ranging from frequent napping in rodents to consolidated blocks primates and unihemispheric cetaceans. In humans, rats, mice cats, patterns are orchestrated by homeostatic circadian drives the sleep–wake switch, but it is not known whether this system ubiquitous among mammals. Here, changes of just two parameters a recent quantitative model switch shown reproduce typical for 17 species across 7 orders. Furthermore, parameter variations found be consistent with...
We present an infinite nonlinear Schrödinger equation hierarchy of integrable equations, together with the recurrence relations defining it. To demonstrate integrability, we Lax pairs for whole hierarchy, specify its Darboux transformations and provide several examples solutions. These resulting wavefunctions are given in exact analytical form. then show that pair transformation formalisms still apply this scheme when coefficients depend on propagation variable (e.g., time). This extension...
Child stunting due to chronic malnutrition is a major problem in low- and middle-income countries due, part, inadequate nutrition-related practices insufficient access services. Limited budgets for nutritional interventions mean that available resources must be targeted the most cost-effective manner have greatest impact. Quantitative tools can help guide budget allocation decisions. The Optima approach an established framework conduct resource optimization analyses. We applied this develop...
The high burden of malaria and limited funding means there is a necessity to maximize the allocative efficiency control programmes. Quantitative tools are urgently needed guide budget allocation decisions. A geospatial epidemic model was coupled with costing data an optimization algorithm estimate optimal budgeted projected funds across all intervention approaches. Interventions included long-lasting insecticide-treated nets (LLINs), indoor residual spraying (IRS), intermittent presumptive...
Over the last decade, long-running endeavour to automate high-level processes in machine learning (ML) has risen mainstream prominence, stimulated by advances optimisation techniques and their impact on selecting ML models/algorithms. Central this drive is appeal of engineering a computational system that both discovers deploys high-performance solutions arbitrary problems with minimal human interaction. Beyond this, an even loftier goal pursuit autonomy, which describes capability...
Abstract The use of single-photon sources (SPSs) is central to numerous systems and devices proposed amidst a modern surge in quantum technology. However, manufacturing schemes remain imperfect, emission purity must often be experimentally verified via interferometry. Such process typically slow costly, which has motivated growing research into whether SPS quality can more rapidly inferred from incomplete statistics.
Hence, this study sequel previous work that demonstrated...
We investigate the phase profiles of rogue wave solutions to nonlinear Schrodinger equation, all produced via Darboux transformation scheme. focus specifically on second-order wave, in both origin-centred and fissioned form, extrapolate results for higher-order structures. In particular, a solution order n can be decomposed into n(n + 1)/2 Peregrine breathers, each peak applies an additive shift 2π underlying plane background. Yet it is evident that no evolution path shifted beyond 2πn. show...