- Australian Mathematical Sciences Institute - Research Publications
Australian Mathematical Sciences Institute - Research Publications
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Item2-D solitary waves in thermal media with nonsymmetric boundary conditionsLouis, SA ; Marchant, TR ; Smyth, NF (WILEY, 2019-05)Abstract Optical solitary waves and their stability in focusing thermal optical media, such as lead glasses, are studied numerically and theoretically in (2 + 1) dimensions. The optical medium is a square cell and mixed boundary conditions of Newton cooling and fixed temperature on different sides of the cell are used. Nonlinear thermal optical media have a refractive index which depends on temperature, so that heating from the optical beam and heat flow across the boundaries can change the refractive index of the medium. Solitary wave solutions are found numerically using the Newton conjugate‐gradient method, while their stability is studied using a linearized stability analysis and also via numerical simulations. It is found that the position of the solitary wave is dependent on the boundary conditions, with the center of the beam moving toward the warmer boundaries, as the parameters are varied. The stability of the solitary waves depends on the symmetry of the boundary conditions and the amplitude of the solitary waves.
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ItemConfirmation of Subjective Wellbeing Set-Points: Foundational for Subjective Social IndicatorsCapic, T ; Li, N ; Cummins, RA (SPRINGER, 2018-05)
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ItemMultidimensionality of Longitudinal Data: Unlocking the Age-Happiness PuzzleLi, N (SPRINGER, 2016-08)
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ItemPanel Conditioning and Subjective Well-beingWooden, M ; Li, N (SPRINGER, 2014-05)
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ItemA Demonstration of Set-Points for Subjective WellbeingCummins, RA ; Li, N ; Wooden, M ; Stokes, M (Springer Nature, 2014-02-15)This paper presents evidence for the existence of ‘set-points’ for subjective wellbeing. Our results derive from a 10-year longitudinal study in which subjective wellbeing has been measured using a single question of general life satisfaction. The process of data analysis is driven by logic based on the theory of subjective wellbeing homeostasis. This analysis involves the iterative elimination of raw data, from 7,356 individual respondents, based on confidence limits. All results are projected onto a 0–100 point scale. We demonstrate evidence for the existence of set-points lying between 71 and 90 points, with an average set-point-range of 18–20 points for each person. The implications and limitations of these findings are discussed.