Edit Profile Rogers, Colin Compute Distance To: Compute Author ID: rogers.colin Published as: Rogers, C.; Rogers, Colin Homepage: http://web.maths.unsw.edu.au/~colinr/ External Links: MGP · Math-Net.Ru · Wikidata Documents Indexed: 232 Publications since 1966, including 9 Books all top 5 Co-Authors 38 single-authored 68 Schief, Wolfgang Karl 22 Clements, David L. 13 Kingston, John G. 11 Amster, Pablo 9 Chow, Kwok Wing 7 An, Hongli 7 Moodie, T. Bryant 5 Malomed, Boris A. 5 Saccomandi, Giuseppe 5 Stallybrass, M. P. 5 Szereszewski, Adam 5 Vergori, Luigi 4 Broadbridge, Philip 4 Castell, S. P. 4 Konopelchenko, Boris Georgievich 4 Ramgulam, Usha 4 Ruggeri, Tommaso 3 Ames, William Francis 3 Bassom, Andrew P. 3 Clarkson, Peter A. 3 Guo, Ben-Yu 3 Johnston, Mark E. 3 Kwong, Man Kam 3 Levi, Decio 3 Mentrelli, Andrea 3 Winternitz, Pavel 2 Baker, J. Alex 2 Barclay, D. W. 2 Bass, Ludvik 2 Bracken, Anthony J. 2 Fokas, Athanassios S. 2 Hoenselaers, Cornelius 2 Lou, Senyue 2 Mak, C. C. 2 Mariani, Maria Cristina 2 Nimmo, Jonathan J. C. 2 Nucci, Maria Clara 2 Pashaev, Oktay K. 2 Power, Geoffrey 2 Rasmussen, Henning 2 Seiler, Werner M. 2 Shadwick, William F. 2 Swetits, John J. 2 Tisdell, Christopher C. 2 Vassiliou, Peter John 1 Antanovskii, Leonid K. 1 Atkinson, Colin 1 Bauer, Kenneth W. jun. 1 Carillo, Sandra 1 Cekirge, H. Murat 1 Chan, Cheong-ki K. 1 Chen, Xiaojun 1 Coley, Alan Albert 1 Conte, Rosaria 1 Degasperis, Antonio 1 Donato, Andrea 1 Ferapontov, Evgeny Vladimirovich 1 Flavin, James N. 1 Hill, David Lawrence 1 Hill, James Murray 1 Huang, Yehui 1 Hui, Weihua 1 Ibragimov, Nail Hairullovich 1 Kléman, Maurice 1 Lai, Derek W. C. 1 Lee, Jyhhao 1 Madan, Ved P. 1 Mazumdar, Jagannath 1 McInnis, C. 1 Milson, Robert 1 Moodie, Bryant T. 1 Murugesh, S. 1 Oevel, Walter 1 Osborn, R. A. 1 Qi, Liqun 1 Ray, John R. 1 Sawatsky, R. 1 Shi, Zhongci 1 Siegel, David 1 Sloan, Ian Hugh 1 Tang, Xiaoyan 1 Tsarev, Sergej Petrovich 1 Vicchi, Leonardo 1 Wong, Percy 1 Woodall, Douglas R. 1 Wylie, Jonathan J. 1 Yan, Zhenya all top 5 Serials 18 Studies in Applied Mathematics 13 Journal of Mathematical Analysis and Applications 12 Journal of Physics A: Mathematical and Theoretical 9 Journal of Physics A: Mathematical and General 8 Acta Mechanica 8 Journal of Mathematical Physics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 International Journal of Engineering Science 7 Journal of Nonlinear Mathematical Physics 6 International Journal of Non-Linear Mechanics 6 Quarterly of Applied Mathematics 4 Journal of Engineering Mathematics 4 Chaos, Solitons and Fractals 4 Ricerche di Matematica 4 Tensor. New Series 4 SIAM Journal on Applied Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Physica Scripta 4 Mathematics in Science and Engineering 3 Archives of Mechanics 3 Physics Letters. A 3 Meccanica 3 Journal of Elasticity 3 Journal de Mécanique 2 Applied Scientific Research 2 Journal of the Australian Mathematical Society, Series B 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Theoretical and Mathematical Physics 2 Wave Motion 2 Journal of Computational and Applied Mathematics 2 Mathematika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Discrete and Continuous Dynamical Systems. Series B 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 International Journal of Multiphase Flow 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal of the Acoustical Society of America 1 Journal of the Institute of Mathematics and its Applications 1 Nonlinearity 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Rheologica Acta 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Rivista di Matematica della Università di Parma. Serie IV 1 Utilitas Mathematica 1 Note di Matematica 1 Applied Mathematics Letters 1 Science in China. Series A 1 Annales de la Société Scientifique de Bruxelles. Série I 1 Revue Roumaine des Sciences Techniques. Série de Mécanique Appliquée 1 Journal de Mécanique Théorique et Appliquée 1 Acta Mathematica Scientia 1 Discrete and Continuous Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Lie Groups and their Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of the Australian Mathematical Society 1 Canadian Journal of Physics 1 Journal of Applied Mathematics and Computing 1 CRM Proceedings & Lecture Notes 1 North-Holland Mathematics Studies 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Mathematica 1 Cambridge Texts in Applied Mathematics all top 5 Fields 122 Partial differential equations (35-XX) 72 Fluid mechanics (76-XX) 57 Dynamical systems and ergodic theory (37-XX) 49 Mechanics of deformable solids (74-XX) 25 Ordinary differential equations (34-XX) 18 Global analysis, analysis on manifolds (58-XX) 13 Differential geometry (53-XX) 10 Optics, electromagnetic theory (78-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Quantum theory (81-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Numerical analysis (65-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 181 Publications have been cited 1,709 times in 799 Documents Cited by ▼ Year ▼ Bäcklund transformations and their applications. Zbl 0492.58002Rogers, C.; Shadwick, W. F. 238 1982 Bäcklund and Darboux transformations. Geometry and modern applications in soliton theory. Zbl 1019.53002Rogers, C.; Schief, W. K. 206 2002 Nonlinear boundary value problems in science and engineering. Zbl 0686.35001Rogers, C.; Ames, W. F. 66 1989 Gauge transformations and reciprocal links in \(2+1\) dimensions. Zbl 0780.35101Oevel, W.; Rogers, C. 52 1993 Nonlinear boundary value problems in science and engineering. Zbl 0699.35004Rogers, C.; Ames, W. F. 37 1989 Multi-component Ermakov systems: Structure and linearization. Zbl 0849.34008Rogers, C.; Schief, W. K. 30 1996 Application of a reciprocal transformation to a two-phase Stefan problem. Zbl 0583.35064Rogers, C. 30 1985 Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces. Zbl 0981.53061Schief, W. K.; Rogers, C. 27 1999 On generalized Loewner systems: Novel integrable equations in 2+1 dimensions. Zbl 0767.35087Konopelchenko, B. G.; Rogers, C. 27 1993 Ermakov-Ray-Reid systems in nonlinear optics. Zbl 1207.78034Rogers, Colin; Malomed, Boris; Chow, Kwok; An, Hongli 26 2010 On reciprocal Bäcklund transformations of inverse scattering schemes. Zbl 1063.37552Rogers, C.; Wong, P. 26 1984 Ermakov systems of arbitrary order and dimension: Structure and linearization. Zbl 0916.34016Schief, W. K.; Rogers, C.; Bassom, A. P. 24 1996 On \((2+1)\)-dimensional Ermakov systems. Zbl 0787.35104Rogers, C.; Hoenselaers, C.; Ray, J. R. 24 1993 On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies. Zbl 1063.37551Rogers, C.; Carillo, S. 24 1987 On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation. Zbl 0615.35044Rogers, C. 24 1986 Ermakov-Ray-Reid reductions of variational approximations in nonlinear optics. Zbl 1280.35142Rogers, Colin; Malomed, Boris; An, Hongli 21 2012 The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability. Zbl 1272.76200Rogers, C.; Schief, W. K. 21 2011 Electrical structures of interfaces: a Painlevé II model. Zbl 1192.35173Bass, L.; Nimmo, J. J. C.; Rogers, C.; Schief, W. K. 21 2010 On reciprocal Bäcklund transformations and the Korteweg-de Vries hierarchy. Zbl 1063.37565Rogers, C.; Nucci, M. C. 21 1986 Antiplane crack problems for an inhomogeneous elastic material. Zbl 0419.73080Clements, D. L.; Atkinson, C.; Rogers, C. 21 1978 Reciprocal relations in non-steady one-dimensional gasdynamics. Zbl 0159.57402Rogers, C. 21 1968 On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system. Zbl 1256.35111Rogers, C.; Schief, W. K. 20 2011 Ermakov-Ray-Reid systems in \((2+1)\)-dimensional rotating shallow water theory. Zbl 1209.37104Rogers, Colin; An, Hongli 20 2010 Soliton resonances in a generalized nonlinear Schrödinger equation. Zbl 1157.35106Pashaev, Oktay K.; Lee, Jyh-Hao; Rogers, Colin 17 2008 Intrinsic geometry of the NLS equation and its auto-Bäcklund transformation. Zbl 1020.35100Rogers, C.; Schief, W. K. 17 1998 On two phase filtration under gravity and with boundary infiltration: application of a Bäcklund transformation. Zbl 0516.35017Rogers, C.; Stallybrass, M. P.; Clements, D. L. 17 1983 On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation. Zbl 0944.34076Rogers, Colin; Bassom, Andrew P.; Schief, Wolfgang K. 16 1999 Invariant transformations in non-steady gasdynamics and magneto- gasdynamics. Zbl 0187.24304Rogers, C. 16 1969 Existence of solutions to boundary value problems for dynamic systems on time scales. Zbl 1085.34013Amster, P.; Rogers, C.; Tisdell, C. C. 15 2005 Bäcklund flux quantization in a model of electrodiffusion based on Painlevé. II. Zbl 1242.82037Bracken, A. J.; Bass, L.; Rogers, C. 14 2012 Painlevé structure of a multi-ion electrodiffusion system. Zbl 1177.82098Conte, R.; Rogers, C.; Schief, W. K. 14 2007 On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation. Zbl 0661.35087Rogers, C.; Broadbridge, P. 14 1988 Lie-theoretical generalization and discretization of the Pinney equation. Zbl 0910.34013Rogers, C.; Schief, W. K.; Winternitz, P. 13 1997 The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation. Zbl 0764.35066Donato, Andrea; Ramgulam, Usha; Rogers, Colin 13 1992 Evolution of methacrylate distribution during wood saturation. Zbl 1064.92030Fokas, A. S.; Rogers, C.; Schief, W. K. 12 2005 The affinsphären equation. Moutard and Bäcklund transformations. Zbl 0803.35113Schief, W. K.; Rogers, C. 12 1994 Cylindrical impact waves in inhomogeneous viscoelastic media. Zbl 0383.73021Barclay, D. W.; Moodie, T. B.; Rogers, C. 12 1978 On a class of reciprocal Stefan moving boundary problems. Zbl 1321.35265Rogers, Colin 11 2015 Universal and integrable aspects of an elliptic vortex representation in \(2+1\)-dimensional magneto-gasdynamics. Zbl 1308.76336Schief, W. K.; An, Hongli; Rogers, Colin 11 2013 On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction. Zbl 1264.35227Rogers, Colin; An, Hongli 11 2011 A novel Ermakov-Painlevé II system: \(N+1\)-dimensional coupled NLS and elastodynamic reductions. Zbl 1297.35235Rogers, Colin 10 2014 A nonlinear superposition principle and Lie group invariance: Application in rotating shallow water theory. Zbl 0694.76044Rogers, C.; Ramgulam, U. 10 1989 Exact solutions for vertical drainage and redistribution in soils. Zbl 0707.73059Broadbridge, P.; Rogers, C. 9 1990 Group theoretical analysis of a rotating shallow liquid in a rigid container. Zbl 0715.35067Levi, D.; Nucci, M. C.; Rogers, C.; Winternitz, P. 9 1989 On the Bergman operator method and anti-plane contact problems involving an inhomogeneous half-space. Zbl 0381.73101Clements, D. L.; Rogers, C. 9 1978 Nondissipative magneto-hydrodynamic flows with magnetic and velocity field lines orthogonal geodesics. Zbl 0278.76045Rogers, Colin; Kingston, John G. 9 1974 On Ermakov-Painlevé II systems. Integrable reduction. Zbl 1374.37086Rogers, Colin; Schief, Wolfgang K. 8 2016 On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem. Zbl 1320.34029Amster, Pablo; Rogers, Colin 8 2015 On a Neumann boundary value problem for the Painlevé II equation in two-ion electro-diffusion. Zbl 1218.34018Amster, Pablo; Kwong, Man Kam; Rogers, Colin 8 2011 Novel integrable reductions in nonlinear continuum mechanics via geometric constraints. Zbl 1062.37079Rogers, C.; Schief, W. K. 8 2003 On geodesic hydrodynamic motions. Heisenberg spin connections. Zbl 0970.35113Rogers, C.; Schief, W. K. 8 2000 Bäcklund and generalized Legendre transformations in gasdynamics. Zbl 0175.51502Power, G.; Rogers, C.; Osborn, R. A. 8 1969 Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation. Zbl 1311.35275Chow, Kwok W.; Rogers, Colin 7 2013 On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. Zbl 0790.35103Broadbridge, Philip; Rogers, Colin 7 1993 A note on the onset of melting in a class of simple metals condition on the applied boundary flux. Zbl 0677.35055Rogers, Colin; Guo, Benyu 7 1988 Bergman’s integral operator method in inhomogeneous elasticity. Zbl 0417.73018Rogers, C.; Clements, D. L. 7 1978 On Madelung systems in nonlinear optics: a reciprocal invariance. Zbl 1388.78010Rogers, Colin; Malomed, Boris 6 2018 The classical Korteweg capillarity system: geometry and invariant transformations. Zbl 1304.35652Rogers, C.; Schief, W. K. 6 2014 A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions. Zbl 1300.65052Amster, Pablo; Kwong, Man Kam; Rogers, Colin 6 2014 Carroll-type deformations in nonlinear elastodynamics. Zbl 1296.35179Rogers, C.; Saccomandi, G.; Vergori, L. 6 2014 On boundary value problems in three-ion electrodiffusion. Zbl 1124.34004Amster, P.; Rogers, C. 6 2007 On two-point boundary value problems in multi-ion electrodiffusion. Zbl 1055.34029Amster, P.; Mariani, M. C.; Rogers, C.; Tisdell, C. C. 6 2004 Dirichlet and periodic-type boundary value problems for Painlevé II. Zbl 1002.34082Mariani, M. C.; Amster, P.; Rogers, C. 6 2002 Bäcklund and reciprocal transformations: Gauge connections. Zbl 0754.35140Konopel’chenko, B. G.; Rogers, C. 6 1992 On Harry-Dym equation and its solution. Zbl 0686.35098Guo, Benyu; Rogers, C. 6 1989 On wave propagation in inhomogeneous elastic media. Zbl 0281.73016Clements, D. L.; Rogers, C. 6 1974 Moving boundary problems for an extended Dym equation. Reciprocal connection. Zbl 1380.35169Rogers, Colin 5 2017 Moving boundary problems for the Harry Dym equation and its reciprocal associates. Zbl 1330.35549Rogers, Colin 5 2015 Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations. Zbl 1200.35269Rogers, C.; Schief, W. K.; Szereszewski, A. 5 2010 A Bäcklund transformation for L-isothermic surfaces. Zbl 1187.53009Rogers, C.; Szereszewski, A. 5 2009 On the equilibrium of shell membranes under normal loading. Hidden integrability. Zbl 1042.37056Rogers, C.; Schief, W. K. 5 2003 Loewner transformations: Adjoint and binary Darboux connections. Zbl 1002.37035Schief, W. K.; Rogers, C. 5 1998 A note on a capillarity model and the nonlinear Schrödinger equation. Zbl 0918.35128Antanovskii, L. K.; Rogers, C.; Schief, W. K. 5 1997 Reciprocal-type transformations in magnetogasdynamics. Zbl 0439.76095Rogers, C.; Kingston, J. G.; Shadwick, W. F. 5 1980 Substitution principles in nonsteady magneto-gasdynamics. Zbl 0191.26101Power, G.; Rogers, C. 5 1969 On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations. Zbl 1354.33017Rogers, Colin 4 2016 Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions. Zbl 07063953Rogers, C.; Saccomandi, G.; Vergori, L. 4 2015 A Neumann boundary value problem in two-ion electro-diffusion with unequal valencies. Zbl 1264.34053Amster, Pablo; Kwong, Man Kam; Rogers, Colin 4 2012 Invariants in a resonant derivative nonlinear Schrödinger model. Zbl 1238.81107Rogers, Colin; Malomed, Boris; Chow, K. W. 4 2012 The Da Rios system under a geometric constraint: the Gilbarg problem. Zbl 1159.76311Schief, W. K.; Rogers, C. 4 2005 Virasoro structure and localized excitations of the LKR system. Zbl 1063.37056Lou, S. Y.; Rogers, C.; Schief, W. K. 4 2003 The classical Bäcklund transformation and integrable discretisation of characteristic equations. Zbl 1053.37523Rogers, C.; Schief, W. K. 4 1997 Initial/boundary value problems and Darboux-Levi-type transformations associated with a \(2+1\)-dimensional eigenfunction equation. Zbl 0836.35143Rogers, C.; Schief, W. K.; Stallybrass, M. P. 4 1995 The finite elastodynamics of hyperelastic thin tubes. Zbl 0441.73076Rogers, C.; Baker, J. A. 4 1980 Radial propagation of axial shear waves in an incompressible elastic material under finite deformation. Zbl 0341.73017Moodie, T. Bryant; Rogers, C.; Clements, D. L. 4 1976 On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations. Zbl 1428.80008Rogers, Colin 3 2019 Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061Rogers, Colin; Clarkson, Peter A. 3 2018 On integrable Ermakov-Painlevé IV systems. Zbl 1393.34083Rogers, Colin; Bassom, Andrew P.; Clarkson, Peter A. 3 2018 Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system. Zbl 1380.37133Rogers, Colin; Clarkson, Peter A. 3 2017 On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation. Zbl 1326.34041Amster, Pablo; Rogers, Colin 3 2015 Hybrid Ermakov-Painlevé IV systems. Zbl 1420.35378Rogers, Colin 3 2014 On a coupled nonlinear Schrödinger system: a Ermakov connection. Zbl 1288.35436Rogers, Colin 3 2014 On a 2+1-dimensional Whitham-Broer-Kaup system: a resonant NLS connection. Zbl 1236.35171Rogers, Colin; Pashaev, Oktay 3 2011 Bäcklund transformations and superposition principles in nonlinear elastodynamics. Zbl 1187.37105Rogers, C.; Schief, W. K. 3 2010 Propagating wave patterns for the ‘resonant’ Davey-Stewartson system. Zbl 1198.81045Tang, X. Y.; Chow, K. W.; Rogers, C. 3 2009 Upper estimates for a moving boundary problem for resonant nonlinear Schrödinger equations. Zbl 1191.35252Flavin, J. N.; Rogers, C. 3 2008 The Lamé equation in shell membrane theory. Zbl 1144.81406Schief, W. K.; Szereszewski, A.; Rogers, C. 3 2007 Doubly periodic and multiple pole solutions of the sinh-Poisson equation: application of reciprocal transformations in subsonic gas dynamics. Zbl 1083.76040Chow, K. W.; Mak, C. C.; Rogers, C.; Schief, W. K. 3 2006 Vortex trains in super-Alfvénic magnetogasdynamics. Application of reciprocal-Bäcklund transformations. Zbl 1362.76065Rogers, C.; Schief, W. K. 3 2005 On complex-lamellar motion of a Prim gas. Zbl 1007.76074Rogers, C.; Schief, W. K.; Hui, W. H. 3 2002 On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations. Zbl 1428.80008Rogers, Colin 3 2019 Moving boundary problems for heterogeneous media. Integrability via conjugation of reciprocal and integral transformations. Zbl 07107739Rogers, Colin 2 2019 On Madelung systems in nonlinear optics: a reciprocal invariance. Zbl 1388.78010Rogers, Colin; Malomed, Boris 6 2018 Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061Rogers, Colin; Clarkson, Peter A. 3 2018 On integrable Ermakov-Painlevé IV systems. Zbl 1393.34083Rogers, Colin; Bassom, Andrew P.; Clarkson, Peter A. 3 2018 Multi-component Ermakov and non-autonomous many-body system connections. Zbl 1446.70016Rogers, Colin 2 2018 On a novel resonant Ermakov-NLS system: Painlevé reduction. Zbl 1405.35199Rogers, Colin; Schief, Wolfgang K. 1 2018 Cnoidal and gausson phenomena in nonlinear elastodynamics. Zbl 1396.74029Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi 1 2018 Moving boundary problems for an extended Dym equation. Reciprocal connection. Zbl 1380.35169Rogers, Colin 5 2017 Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system. Zbl 1380.37133Rogers, Colin; Clarkson, Peter A. 3 2017 On hybrid Ermakov-Painlevé systems. Integrable reduction. Zbl 1420.34108Rogers, Colin 2 2017 On modulated NLS-Ermakov systems. Zbl 1420.35379Rogers, Colin; Chow, Kwok 1 2017 On Ermakov-Painlevé II systems. Integrable reduction. Zbl 1374.37086Rogers, Colin; Schief, Wolfgang K. 8 2016 On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations. Zbl 1354.33017Rogers, Colin 4 2016 Ermakov-modulated nonlinear Schrödinger models. Integrable reduction. Zbl 1420.34064Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi 2 2016 On a class of reciprocal Stefan moving boundary problems. Zbl 1321.35265Rogers, Colin 11 2015 On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem. Zbl 1320.34029Amster, Pablo; Rogers, Colin 8 2015 Moving boundary problems for the Harry Dym equation and its reciprocal associates. Zbl 1330.35549Rogers, Colin 5 2015 Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions. Zbl 07063953Rogers, C.; Saccomandi, G.; Vergori, L. 4 2015 On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation. Zbl 1326.34041Amster, Pablo; Rogers, Colin 3 2015 A novel Ermakov-Painlevé II system: \(N+1\)-dimensional coupled NLS and elastodynamic reductions. Zbl 1297.35235Rogers, Colin 10 2014 The classical Korteweg capillarity system: geometry and invariant transformations. Zbl 1304.35652Rogers, C.; Schief, W. K. 6 2014 A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions. Zbl 1300.65052Amster, Pablo; Kwong, Man Kam; Rogers, Colin 6 2014 Carroll-type deformations in nonlinear elastodynamics. Zbl 1296.35179Rogers, C.; Saccomandi, G.; Vergori, L. 6 2014 Hybrid Ermakov-Painlevé IV systems. Zbl 1420.35378Rogers, Colin 3 2014 On a coupled nonlinear Schrödinger system: a Ermakov connection. Zbl 1288.35436Rogers, Colin 3 2014 q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics. Zbl 1303.37026Rogers, Colin; Ruggeri, Tommaso 2 2014 Integrable substructure in a Korteweg capillarity model. A Karman-Tsien type constitutive relation. Zbl 1420.35377Rogers, Colin 1 2014 On \(q\)-Gaussian integrable Hamiltonian reductions in anisentropic magneto-gasdynamics. Zbl 1304.76050Rogers, C.; Schief, W. K. 1 2014 On a Boussinesq capillarity system: Hamiltonian reductions and associated quartic geometries. Zbl 1290.35207Rogers, C.; Schief, W. K. 1 2014 Universal and integrable aspects of an elliptic vortex representation in \(2+1\)-dimensional magneto-gasdynamics. Zbl 1308.76336Schief, W. K.; An, Hongli; Rogers, Colin 11 2013 Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation. Zbl 1311.35275Chow, Kwok W.; Rogers, Colin 7 2013 Ermakov-Ray-Reid reductions of variational approximations in nonlinear optics. Zbl 1280.35142Rogers, Colin; Malomed, Boris; An, Hongli 21 2012 Bäcklund flux quantization in a model of electrodiffusion based on Painlevé. II. Zbl 1242.82037Bracken, A. J.; Bass, L.; Rogers, C. 14 2012 A Neumann boundary value problem in two-ion electro-diffusion with unequal valencies. Zbl 1264.34053Amster, Pablo; Kwong, Man Kam; Rogers, Colin 4 2012 Invariants in a resonant derivative nonlinear Schrödinger model. Zbl 1238.81107Rogers, Colin; Malomed, Boris; Chow, K. W. 4 2012 On an integrable deformed affinsphären equation. A reciprocal gasdynamic connection. Zbl 1260.37041Rogers, C.; Huang, Yehui 1 2012 A non-isothermal spinning magneto-gasdynamic cloud system A Hamiltonian-Ermakov integrable reduction. Zbl 06147738Rogers, Colin; An, Hongli 1 2012 Connection of an integrable inhomogeneous Heisenberg spin equation to a hydrodynamic-type system with collision term. Zbl 1253.82018Rogers, C.; Schief, W. K. 1 2012 On the geometry of complex-lamellar magnetohydrodynamics: universal motions. Zbl 06055476Rogers, C.; Szereszewski, A. 1 2012 The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability. Zbl 1272.76200Rogers, C.; Schief, W. K. 21 2011 On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system. Zbl 1256.35111Rogers, C.; Schief, W. K. 20 2011 On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction. Zbl 1264.35227Rogers, Colin; An, Hongli 11 2011 On a Neumann boundary value problem for the Painlevé II equation in two-ion electro-diffusion. Zbl 1218.34018Amster, Pablo; Kwong, Man Kam; Rogers, Colin 8 2011 On a 2+1-dimensional Whitham-Broer-Kaup system: a resonant NLS connection. Zbl 1236.35171Rogers, Colin; Pashaev, Oktay 3 2011 Ermakov-Ray-Reid systems in nonlinear optics. Zbl 1207.78034Rogers, Colin; Malomed, Boris; Chow, Kwok; An, Hongli 26 2010 Electrical structures of interfaces: a Painlevé II model. Zbl 1192.35173Bass, L.; Nimmo, J. J. C.; Rogers, C.; Schief, W. K. 21 2010 Ermakov-Ray-Reid systems in \((2+1)\)-dimensional rotating shallow water theory. Zbl 1209.37104Rogers, Colin; An, Hongli 20 2010 Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations. Zbl 1200.35269Rogers, C.; Schief, W. K.; Szereszewski, A. 5 2010 Bäcklund transformations and superposition principles in nonlinear elastodynamics. Zbl 1187.37105Rogers, C.; Schief, W. K. 3 2010 Modulated waves and helicoidal pseudospherical surfaces in nonlinear inhomogeneous elasticity. Zbl 1381.74041Schief, W. K.; Rogers, C. 2 2010 Application of a Bäcklund transformation in nonlinear elastodynamics: two-pulse interaction. Zbl 1326.74070Rogers, C.; Schief, W. K.; Mentrelli, A.; Ruggeri, T. 1 2010 Integrable structure in the theory of stress concentration in shear-strained nonlinear elastic materials. Zbl 1351.74037Rogers, C.; Schief, W. K. 1 2010 A Bäcklund transformation for L-isothermic surfaces. Zbl 1187.53009Rogers, C.; Szereszewski, A. 5 2009 Propagating wave patterns for the ‘resonant’ Davey-Stewartson system. Zbl 1198.81045Tang, X. Y.; Chow, K. W.; Rogers, C. 3 2009 On shell membranes of Enneper type: generalized Dupin cyclides. Zbl 1422.74066Schief, W. K.; Szereszewski, A.; Rogers, C. 2 2009 Boundary value problems on the half-line for a generalised Painlevé II equation. Zbl 1177.34042Amster, Pablo; Vicchi, Leonardo; Rogers, Colin 2 2009 On a Bernoulli-integrable magnetohydrodynamic system. Zbl 1169.76061Rogers, C.; Schief, W. K. 1 2009 Soliton resonances in a generalized nonlinear Schrödinger equation. Zbl 1157.35106Pashaev, Oktay K.; Lee, Jyh-Hao; Rogers, Colin 17 2008 Upper estimates for a moving boundary problem for resonant nonlinear Schrödinger equations. Zbl 1191.35252Flavin, J. N.; Rogers, C. 3 2008 Painlevé structure of a multi-ion electrodiffusion system. Zbl 1177.82098Conte, R.; Rogers, C.; Schief, W. K. 14 2007 On boundary value problems in three-ion electrodiffusion. Zbl 1124.34004Amster, P.; Rogers, C. 6 2007 The Lamé equation in shell membrane theory. Zbl 1144.81406Schief, W. K.; Szereszewski, A.; Rogers, C. 3 2007 A novel class of model constitutive laws in nonlinear elasticity: construction via Loewner theory. Zbl 1126.74007Rogers, C.; Schief, W. K.; Chow, K. W. 2 2007 On two-pulse and shock evolution in a class of ideally hard elastic materials. Zbl 1122.74030Mentrelli, A.; Rogers, C.; Ruggeri, T.; Schief, W. K. 1 2007 On the kinematics of \(2+1\)-dimensional motions of a fibre-reinforced fluid. Integrable connections. Zbl 1107.76035Schief, W. K.; Rogers, C.; Murugesh, S. 1 2007 Doubly periodic and multiple pole solutions of the sinh-Poisson equation: application of reciprocal transformations in subsonic gas dynamics. Zbl 1083.76040Chow, K. W.; Mak, C. C.; Rogers, C.; Schief, W. K. 3 2006 On orthogonal homentropic magneto-gasdynamics in two dimensions. Zbl 1099.35102Rogers, C.; Schief, W. K. 1 2006 Existence of solutions to boundary value problems for dynamic systems on time scales. Zbl 1085.34013Amster, P.; Rogers, C.; Tisdell, C. C. 15 2005 Evolution of methacrylate distribution during wood saturation. Zbl 1064.92030Fokas, A. S.; Rogers, C.; Schief, W. K. 12 2005 The Da Rios system under a geometric constraint: the Gilbarg problem. Zbl 1159.76311Schief, W. K.; Rogers, C. 4 2005 Vortex trains in super-Alfvénic magnetogasdynamics. Application of reciprocal-Bäcklund transformations. Zbl 1362.76065Rogers, C.; Schief, W. K. 3 2005 On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides. Zbl 1186.74079Schief, W. K.; Kléman, M.; Rogers, C. 2 2005 On Tzitzéica vortex streets and their reciprocals in subsonic gas dynamics. Zbl 1145.76397Rogers, C.; Schief, W. K.; Chow, K. W.; Mak, C. C. 1 2005 On two-point boundary value problems in multi-ion electrodiffusion. Zbl 1055.34029Amster, P.; Mariani, M. C.; Rogers, C.; Tisdell, C. C. 6 2004 Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation. Zbl 1211.76097Rogers, C.; Schief, W. K. 2 2004 Novel integrable reductions in nonlinear continuum mechanics via geometric constraints. Zbl 1062.37079Rogers, C.; Schief, W. K. 8 2003 On the equilibrium of shell membranes under normal loading. Hidden integrability. Zbl 1042.37056Rogers, C.; Schief, W. K. 5 2003 Virasoro structure and localized excitations of the LKR system. Zbl 1063.37056Lou, S. Y.; Rogers, C.; Schief, W. K. 4 2003 Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces. Zbl 1211.74138Rogers, C.; Schief, W. K.; Wylie, J. 2 2003 The kinematics of the planar motion of ideal fiber-reinforced fluids: an integrable reduction and Bäcklund transformation. Zbl 1178.37089Rogers, C.; Schief, W. K. 1 2003 The kinematics of fibre-reinforced fluids. An integrable reduction. Zbl 1081.76057Schief, W. K.; Rogers, C. 1 2003 Bäcklund and Darboux transformations. Geometry and modern applications in soliton theory. Zbl 1019.53002Rogers, C.; Schief, W. K. 206 2002 Dirichlet and periodic-type boundary value problems for Painlevé II. Zbl 1002.34082Mariani, M. C.; Amster, P.; Rogers, C. 6 2002 On complex-lamellar motion of a Prim gas. Zbl 1007.76074Rogers, C.; Schief, W. K.; Hui, W. H. 3 2002 Isothermic surfaces generated via Bäcklund and Moutard transformations: boomeron and zoomeron connections. Zbl 1152.53306Degasperis, A.; Rogers, C.; Schief, W. K. 1 2002 Infinitesimal Bäcklund transformations of \(K\)-nets. The 2+1-dimensional sinh-Gordon system. Zbl 0992.35084Rogers, C.; Schief, W. K. 1 2001 On geodesic hydrodynamic motions. Heisenberg spin connections. Zbl 0970.35113Rogers, C.; Schief, W. K. 8 2000 Bäcklund and his works: Applications in soliton theory. Zbl 0962.35149Rogers, Colin; Schief, Wolfgang K.; Johnston, Mark E. 1 2000 Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces. Zbl 0981.53061Schief, W. K.; Rogers, C. 27 1999 On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation. Zbl 0944.34076Rogers, Colin; Bassom, Andrew P.; Schief, Wolfgang K. 16 1999 Intrinsic geometry of the NLS equation and its auto-Bäcklund transformation. Zbl 1020.35100Rogers, C.; Schief, W. K. 17 1998 Loewner transformations: Adjoint and binary Darboux connections. Zbl 1002.37035Schief, W. K.; Rogers, C. 5 1998 Reciprocal transformations of two-component hyperbolic systems and their invariants. Zbl 0939.35117Ferapontov, E. V.; Rogers, C.; Schief, W. K. 2 1998 Lie-theoretical generalization and discretization of the Pinney equation. Zbl 0910.34013Rogers, C.; Schief, W. K.; Winternitz, P. 13 1997 A note on a capillarity model and the nonlinear Schrödinger equation. Zbl 0918.35128Antanovskii, L. K.; Rogers, C.; Schief, W. K. 5 1997 The classical Bäcklund transformation and integrable discretisation of characteristic equations. Zbl 1053.37523Rogers, C.; Schief, W. K. 4 1997 On a Laplace sequence of nonlinear integrable Ernst-type equations. Zbl 0869.35092Schief, W. K.; Rogers, C. 3 1997 Multi-component Ermakov systems: Structure and linearization. Zbl 0849.34008Rogers, C.; Schief, W. K. 30 1996 Ermakov systems of arbitrary order and dimension: Structure and linearization. Zbl 0916.34016Schief, W. K.; Rogers, C.; Bassom, A. P. 24 1996 ...and 81 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 975 Authors 94 Rogers, Colin 41 Schief, Wolfgang Karl 16 Carillo, Sandra 15 Zayed, Elsayed M. E. 14 Tian, Bo 12 Broadbridge, Philip 11 Cheng, Jipeng 10 Amster, Pablo 10 Zhang, Hongqing 9 Liu, Qingping 9 Lü, Xing 9 Zhaqilao, Z. 8 An, Hongli 8 Clements, David L. 8 Lou, Senyue 8 Natale, María Fernanda 8 Oliveri, Francesco 8 Tarzia, Domingo Alberto 7 Gomes, Jose Francisco 7 Nucci, Maria Clara 7 Saccomandi, Giuseppe 7 Tian, Shoufu 7 Zimerman, Abraham H. 6 Alurrfi, Khaled A. E. 6 Arrigo, Daniel J. 6 Briozzo, Adriana C. 6 Cao, Xifang 6 Chow, Kwok Wing 6 Dong, Huanhe 6 Ferapontov, Evgeny Vladimirovich 6 He, Jingsong 6 Oevel, Walter 6 Qu, Changzheng 6 Sophocleous, Christodoulos 6 Zedan, Hassan A. 6 Zhang, Tiantian 5 Clarkson, Peter A. 5 Fuchssteiner, Benno 5 Fusco, Domenico 5 Gao, Yitian 5 Hassan, Mahmood-Ul 5 Hu, Xingbiao 5 Huang, Dingjiang 5 Lo Schiavo, Mauro 5 Manganaro, Natale 5 Musette, Micheline 5 Schiebold, Cornelia 5 Tang, Xiaoyan 5 Tu, Jian-Min 5 Xu, Meijuan 4 Biswas, Anjan 4 Bracken, Paul Francis 4 De Lillo, Silvana 4 de Lucas, Javier 4 Edelen, Dominic Gardiner Bowling 4 El-Kalaawy, Omar H. 4 Fan, Engui 4 Jiang, Yan 4 Kang, Jing 4 Khater, Ahmed H. 4 Lakshmanan, Muthusamy 4 Ma, Wen-Xiu 4 Malomed, Boris A. 4 Mason, David P. 4 Meng, Xianghua 4 Naher, Hasibun 4 Nešović, Emilija 4 Riaz, H. Wajahat Ahmed 4 Sharma, Vishnu D. 4 Szereszewski, Adam 4 Tisdell, Christopher C. 4 Tsyganov, Andreĭ Vladimirovich 4 Vassiliou, Peter John 4 Vergori, Luigi 4 Winternitz, Pavel 4 Zhu, Hongwu 3 Abdullah, Farah Aini 3 Ames, William Francis 3 Aratyn, Henrik 3 Barclay, D. W. 3 Bass, Ludvik 3 Bluman, George W. 3 Bracken, Anthony J. 3 Callebaut, Dirk K. 3 Chen, Huizhan 3 Conte, Robert M. 3 Currò, Carmela 3 Estévez, Pilar G. 3 Feng, Yang 3 Ganji, Davood Domiri 3 Geng, Lumin 3 Geng, Xianguo 3 Gepreel, Khaled A. 3 Goard, Joanna M. 3 Grbović, Milica 3 Grundland, Alfred Michel 3 Guo, Shimin 3 He, Bin 3 Hu, Jianlan 3 Inoguchi, Jun-ichi ...and 875 more Authors all top 5 Cited in 156 Serials 50 Journal of Mathematical Physics 43 Journal of Mathematical Analysis and Applications 43 Applied Mathematics and Computation 41 Physics Letters. A 34 Chaos, Solitons and Fractals 30 Journal of Nonlinear Mathematical Physics 25 Communications in Nonlinear Science and Numerical Simulation 24 Journal of Geometry and Physics 22 Theoretical and Mathematical Physics 21 Studies in Applied Mathematics 19 Acta Mechanica 17 Nonlinear Dynamics 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Computers & Mathematics with Applications 13 Applied Mathematics Letters 11 International Journal of Engineering Science 11 Abstract and Applied Analysis 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Ricerche di Matematica 10 Mathematical Problems in Engineering 10 Advances in Mathematical Physics 9 Journal of Engineering Mathematics 9 Mathematical and Computer Modelling 8 Reports on Mathematical Physics 7 International Journal of Theoretical Physics 7 Physica D 7 Journal of Mathematical Sciences (New York) 7 Journal of the Egyptian Mathematical Society 7 Nonlinear Analysis. Real World Applications 7 Journal of Physics A: Mathematical and Theoretical 6 International Journal of Modern Physics B 6 Wave Motion 6 Journal of Computational and Applied Mathematics 6 International Journal of Geometric Methods in Modern Physics 6 Advances in Difference Equations 5 Applicable Analysis 5 Astrophysics and Space Science 5 Letters in Mathematical Physics 5 Physica A 5 Acta Applicandae Mathematicae 5 Journal of Elasticity 5 Journal of Applied Mathematics 4 Communications in Mathematical Physics 4 Applied Numerical Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 Modern Physics Letters A 3 Nuclear Physics. B 3 Journal of Differential Equations 3 Manuscripta Mathematica 3 Meccanica 3 Quaestiones Mathematicae 3 Journal of Symbolic Computation 3 Differential Geometry and its Applications 3 Russian Mathematics 3 Journal of Difference Equations and Applications 3 Mathematics and Mechanics of Solids 3 Discrete Dynamics in Nature and Society 3 Journal of High Energy Physics 3 Frontiers of Mathematics in China 3 Communications in Theoretical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 Journal of Applied Mathematics and Mechanics 2 Nonlinearity 2 Transport Theory and Statistical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Nachrichten 2 Programming and Computer Software 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Discrete & Computational Geometry 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Russian Journal of Mathematical Physics 2 Electronic Journal of Differential Equations (EJDE) 2 Complexity 2 Mathematical Physics, Analysis and Geometry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Regular and Chaotic Dynamics 2 Acta Mathematica Sinica. English Series 2 The ANZIAM Journal 2 Differential Equations 2 Journal of Applied Mathematics and Computing 2 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Mathematical Physics 2 Pacific Journal of Mathematics for Industry 2 International Journal of Applied and Computational Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Indian Journal of Pure & Applied Mathematics 1 Journal of the Franklin Institute 1 Journal of Statistical Physics 1 Physics Letters. B ...and 56 more Serials all top 5 Cited in 42 Fields 550 Partial differential equations (35-XX) 286 Dynamical systems and ergodic theory (37-XX) 123 Fluid mechanics (76-XX) 81 Differential geometry (53-XX) 73 Ordinary differential equations (34-XX) 69 Global analysis, analysis on manifolds (58-XX) 56 Mechanics of deformable solids (74-XX) 42 Numerical analysis (65-XX) 35 Quantum theory (81-XX) 23 Difference and functional equations (39-XX) 22 Classical thermodynamics, heat transfer (80-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Optics, electromagnetic theory (78-XX) 19 Mechanics of particles and systems (70-XX) 13 Special functions (33-XX) 12 Operator theory (47-XX) 10 Topological groups, Lie groups (22-XX) 9 Computer science (68-XX) 8 Nonassociative rings and algebras (17-XX) 7 Integral equations (45-XX) 7 Biology and other natural sciences (92-XX) 6 Convex and discrete geometry (52-XX) 6 Relativity and gravitational theory (83-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Functional analysis (46-XX) 4 Geophysics (86-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.