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Colin Rogers

Bio: Colin Rogers is an academic researcher from University of New South Wales. The author has contributed to research in topics: Boundary value problem & Integrable system. The author has an hindex of 13, co-authored 125 publications receiving 825 citations. Previous affiliations of Colin Rogers include Hong Kong Polytechnic University & University of South Wales.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the authors present exact solutions to a versatile analytic nonlinear model of single phase vertical unsaturated flow during constant rate rainfall infiltration in a bounded soil profile with an impermeable base.
Abstract: We present new exact solutions to a versatile analytic nonlinear model of single phase vertical unsaturated flow during constant rate rainfall infiltration in a bounded soil profile with an impermeable base. The nonlinear flow equation in a fixed finite region is transformed to a linear diffusion problem with boundary conditions on a shrinking domain. The linear problem is treated by King's method of Laplace-transform boosts. The analytic solutions illustrate the theoretical differences in the basement moisture build-up when the water content dependence of the soil hydraulic properties varies from strong to weak. When the rainfall rate exceeds a critical value which is estimated here, surface ponding precedes basement saturation. In this case, time to ponding is approximated well by the expression for the infinite column. When the rainfall rate is less than the critical value (which is greater than the conductivity at saturation), basement saturation precedes surface ponding. In this case, the time to basement saturation is close to the time taken for the rainfall to fill the available pore space

73 citations

Journal ArticleDOI
TL;DR: Ermakov systems of arbitrary order and dimension inherit an underlying linear structure based on that recently established for the classical Ermakov system as discussed by the authors, and as an application, alignment of a (2 + 1)-dimensional EML and integrable Ernst system is shown to produce a novel integrably hybrid of a 2 + 1-dimensional sinh - Gordon system and of a conventional EML.
Abstract: Ermakov systems of arbitrary order and dimension are constructed. These inherit an underlying linear structure based on that recently established for the classical Ermakov system. As an application, alignment of a (2 + 1)-dimensional Ermakov and integrable Ernst system is shown to produce a novel integrable hybrid of a (2 + 1)-dimensional sinh - Gordon system and of a conventional Ermakov system.

58 citations

Journal ArticleDOI
TL;DR: In this paper, a Lie group approach is adopted to construct generalized Pinney equations of two distinct types which admit nonlinear superposition principles, and the procedure also provides a route to discretizations of these Pinney equation which preserves the property of admittance of a non linear superposition principle, and underlying linearizations are placed in the context of results for C-integrable nonlinear Schrodinger equations.

40 citations

Journal ArticleDOI
TL;DR: In this article, the existence of boundary value problems for dynamic equations on time scales is established through topological arguments using a generalized relationship between the boundary conditions and a certain subset of the solution space, using Leray-Schauder and Brouwer degree theory.

28 citations

Journal ArticleDOI
TL;DR: In this article, Backlund and Moutard transformations are applied to seed classical isothermic surfaces to generate "solitonic" surfaces such as Dupin cyclides, and localized solutions of the zoomeron equation are shown to be related to the dromion solution of the Davey-Stewartson III equation via a simple Lie point symmetry.
Abstract: Backlund and Moutard transformations are applied to seed classical isothermic surfaces to generate 'solitonic' isothermic surfaces such as Dupin cyclides. Corresponding localized solutions of the zoomeron equation are shown to be related to the dromion solutions of the Davey-Stewartson III equation via a simple Lie point symmetry.

27 citations


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Posted Content
TL;DR: Deming's theory of management based on the 14 Points for Management is described in Out of the Crisis, originally published in 1982 as mentioned in this paper, where he explains the principles of management transformation and how to apply them.
Abstract: According to W. Edwards Deming, American companies require nothing less than a transformation of management style and of governmental relations with industry. In Out of the Crisis, originally published in 1982, Deming offers a theory of management based on his famous 14 Points for Management. Management's failure to plan for the future, he claims, brings about loss of market, which brings about loss of jobs. Management must be judged not only by the quarterly dividend, but by innovative plans to stay in business, protect investment, ensure future dividends, and provide more jobs through improved product and service. In simple, direct language, he explains the principles of management transformation and how to apply them.

9,241 citations

Journal ArticleDOI
TL;DR: In this paper, the Shand-McDougall concept of sentiment is taken over and used in the explanation of moral motivation, which is reinforced by social pressures and by religion, treating as an effort of finite man to live in harmony with the infinite reality.
Abstract: In his Preface the author' says that he started out to review all the more important theories upon the topics ordinarily discussed under human motivation but soon found himself more and more limited to the presentation of his own point of view. This very well characterizes the book. It is a very personal product. It is an outline with some defense of the author's own thinking about instincts and appetites and sentiments and how they function in human behavior. And as the author draws so heavily upon James and McDougall, especially the latter, the book may well be looked upon as a sort of sequel to their efforts. There is a thought-provoking distinction presented between instinct and appetite. An instinct is said to be aroused always by something in the external situation; and, correspondingly, an appetite is said to be aroused by sensations from within the body itself. This places, of course, a heavy emphasis upon the cognitive factor in all instinctive behaviors; and the author prefers to use the cognitive factor, especially the knowledge of that end-experience which will satisfy, as a means of differentiating one instinct from another. In this there is a recognized difference from McDougall who placed more emphasis for differentiation upon the emotional accompaniment. The list of instincts arrived at by this procedure is much like that of McDougall, although the author is forced by his criteria to present the possibility of food-seeking and sex and sleep operating both in the manner of an appetite and also as an instinct. The Shand-McDougall concept of sentiment is taken over and used in the explanation of moral motivation. There is the development within each personality of a sentiment for some moral principle. But this sentiment is not a very powerful motivating factor. It is reinforced by social pressures and by religion, which is treated as an effort of finite man to live in harmony with the infinite reality. Those whose psychological thinking is largely in terms of McDougall will doubtless find this volume a very satisfying expansion; but those who are at all inclined to support their psychological thinking by reference to experimental studies will not be so well pleased. The James-Lange theory, for example, is discussed without mention of the many experimental studies which it has provoked. Theoretical sources appear in general to be preferred to experimental investigations.

1,962 citations

MonographDOI
24 Jun 2002
TL;DR: Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory have been explored in this article, where the authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged.
Abstract: This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text is concerned. In this geometric context, solitonic equations arise out of the Gaus-Mainardi-Codazzi equations for various types of surfaces that admit invariance under Backlund-Darboux transformations. This text is appropriate for use at a higher undergraduate or graduate level for applied mathematicians or mathematical physics.

835 citations

Book
01 Jan 1995
TL;DR: The fear of crime interpreting victimization risk is universally compatible later any devices to read, allowing the most less latency epoch to download any of the authors' books subsequent to this one.
Abstract: Rather than enjoying a good PDF next a cup of coffee in the afternoon, otherwise they juggled past some harmful virus inside their computer. fear of crime interpreting victimization risk is comprehensible in our digital library an online right of entry to it is set as public appropriately you can download it instantly. Our digital library saves in multipart countries, allowing you to acquire the most less latency epoch to download any of our books subsequent to this one. Merely said, the fear of crime interpreting victimization risk is universally compatible later any devices to read.

776 citations

Journal ArticleDOI
TL;DR: Governing through crime: How the War on Crime Transformed American Democracy and Created a Culture of FearCriminal Justice Theory, Volume 26, 2019 as mentioned in this paper, Section 5.1.
Abstract: Governing through Crime in South AfricaWarum Nationen scheiternGoverning Immigration Through CrimeMafia-LebenScaleDer VorsorgestaatHandbuch JugendkriminalitätThe Crime ConundrumDie SicherheitsgesellschaftDurchbrüche ins Soziale eine Festschrift für Rudolph BauerKriminalitätskontrolle als IndustrieStrafanstalt als BesserungsmaschineDie Vielfalt des RegierensThe Social Sustainability of CitiesGoverning through Crime in South AfricaSurveillance and GovernanceGoverning Through CrimeOrganized crimeDemocratic Theory and Mass IncarcerationCheliax Imperium der Teufel11-SepDefinition und Grenzen der Vorverlagerung von StrafbarkeitMass Incarceration on TrialAlternative CriminologiesGoverning Through Crime : How the War on Crime Transformed American Democracy and Created a Culture of FearCriminal Justice Theory, Volume 26Governing through crime?Laws against strikes. The South African Experience in an international and Comparative PerspectiveIntroduction to critical criminologyGoverning Through Crime in the Northern Territory: Are Criminal Justice System Changes Contributing to Rising Indigenous Imprisonment?After the War on CrimeGoverning Through CrimeInterdisziplinäre RechtsforschungDer CSI-Effekt in DeutschlandThe Contested Politics of MobilityGoverning through Globalised CrimeNeue Theorien des RechtsGoverning Through Globalised CrimeCriminological PerspectivesThe Legal Process and the Promise of Justice

732 citations