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Rogers, Colin

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 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
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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
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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
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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)

Citations contained in zbMATH

181 Publications have been cited 1,709 times in 799 Documents Cited by Year
Bäcklund transformations and their applications. Zbl 0492.58002
1982
Bäcklund and Darboux transformations. Geometry and modern applications in soliton theory. Zbl 1019.53002
Rogers, C.; Schief, W. K.
2002
Nonlinear boundary value problems in science and engineering. Zbl 0686.35001
Rogers, C.; Ames, W. F.
1989
Gauge transformations and reciprocal links in $$2+1$$ dimensions. Zbl 0780.35101
Oevel, W.; Rogers, C.
1993
Nonlinear boundary value problems in science and engineering. Zbl 0699.35004
Rogers, C.; Ames, W. F.
1989
Multi-component Ermakov systems: Structure and linearization. Zbl 0849.34008
Rogers, C.; Schief, W. K.
1996
Application of a reciprocal transformation to a two-phase Stefan problem. Zbl 0583.35064
Rogers, C.
1985
Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces. Zbl 0981.53061
Schief, W. K.; Rogers, C.
1999
On generalized Loewner systems: Novel integrable equations in 2+1 dimensions. Zbl 0767.35087
Konopelchenko, B. G.; Rogers, C.
1993
Ermakov-Ray-Reid systems in nonlinear optics. Zbl 1207.78034
Rogers, Colin; Malomed, Boris; Chow, Kwok; An, Hongli
2010
On reciprocal Bäcklund transformations of inverse scattering schemes. Zbl 1063.37552
Rogers, C.; Wong, P.
1984
Ermakov systems of arbitrary order and dimension: Structure and linearization. Zbl 0916.34016
Schief, W. K.; Rogers, C.; Bassom, A. P.
1996
On $$(2+1)$$-dimensional Ermakov systems. Zbl 0787.35104
Rogers, C.; Hoenselaers, C.; Ray, J. R.
1993
On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies. Zbl 1063.37551
Rogers, C.; Carillo, S.
1987
On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation. Zbl 0615.35044
Rogers, C.
1986
Ermakov-Ray-Reid reductions of variational approximations in nonlinear optics. Zbl 1280.35142
Rogers, Colin; Malomed, Boris; An, Hongli
2012
The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability. Zbl 1272.76200
Rogers, C.; Schief, W. K.
2011
Electrical structures of interfaces: a Painlevé II model. Zbl 1192.35173
Bass, L.; Nimmo, J. J. C.; Rogers, C.; Schief, W. K.
2010
On reciprocal Bäcklund transformations and the Korteweg-de Vries hierarchy. Zbl 1063.37565
Rogers, C.; Nucci, M. C.
1986
Antiplane crack problems for an inhomogeneous elastic material. Zbl 0419.73080
Clements, D. L.; Atkinson, C.; Rogers, C.
1978
Reciprocal relations in non-steady one-dimensional gasdynamics. Zbl 0159.57402
Rogers, C.
1968
On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system. Zbl 1256.35111
Rogers, C.; Schief, W. K.
2011
Ermakov-Ray-Reid systems in $$(2+1)$$-dimensional rotating shallow water theory. Zbl 1209.37104
Rogers, Colin; An, Hongli
2010
Soliton resonances in a generalized nonlinear Schrödinger equation. Zbl 1157.35106
Pashaev, Oktay K.; Lee, Jyh-Hao; Rogers, Colin
2008
Intrinsic geometry of the NLS equation and its auto-Bäcklund transformation. Zbl 1020.35100
Rogers, C.; Schief, W. K.
1998
On two phase filtration under gravity and with boundary infiltration: application of a Bäcklund transformation. Zbl 0516.35017
Rogers, C.; Stallybrass, M. P.; Clements, D. L.
1983
On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation. Zbl 0944.34076
Rogers, Colin; Bassom, Andrew P.; Schief, Wolfgang K.
1999
Invariant transformations in non-steady gasdynamics and magneto- gasdynamics. Zbl 0187.24304
Rogers, C.
1969
Existence of solutions to boundary value problems for dynamic systems on time scales. Zbl 1085.34013
Amster, P.; Rogers, C.; Tisdell, C. C.
2005
Bäcklund flux quantization in a model of electrodiffusion based on Painlevé. II. Zbl 1242.82037
Bracken, A. J.; Bass, L.; Rogers, C.
2012
Painlevé structure of a multi-ion electrodiffusion system. Zbl 1177.82098
Conte, R.; Rogers, C.; Schief, W. K.
2007
On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation. Zbl 0661.35087
1988
Lie-theoretical generalization and discretization of the Pinney equation. Zbl 0910.34013
Rogers, C.; Schief, W. K.; Winternitz, P.
1997
The (3+1)-dimensional Monge-Ampère equation in discontinuity wave theory: Application of a reciprocal transformation. Zbl 0764.35066
Donato, Andrea; Ramgulam, Usha; Rogers, Colin
1992
Evolution of methacrylate distribution during wood saturation. Zbl 1064.92030
Fokas, A. S.; Rogers, C.; Schief, W. K.
2005
The affinsphären equation. Moutard and Bäcklund transformations. Zbl 0803.35113
Schief, W. K.; Rogers, C.
1994
Cylindrical impact waves in inhomogeneous viscoelastic media. Zbl 0383.73021
Barclay, D. W.; Moodie, T. B.; Rogers, C.
1978
On a class of reciprocal Stefan moving boundary problems. Zbl 1321.35265
Rogers, Colin
2015
Universal and integrable aspects of an elliptic vortex representation in $$2+1$$-dimensional magneto-gasdynamics. Zbl 1308.76336
Schief, W. K.; An, Hongli; Rogers, Colin
2013
On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction. Zbl 1264.35227
Rogers, Colin; An, Hongli
2011
A novel Ermakov-Painlevé II system: $$N+1$$-dimensional coupled NLS and elastodynamic reductions. Zbl 1297.35235
Rogers, Colin
2014
A nonlinear superposition principle and Lie group invariance: Application in rotating shallow water theory. Zbl 0694.76044
Rogers, C.; Ramgulam, U.
1989
Exact solutions for vertical drainage and redistribution in soils. Zbl 0707.73059
1990
Group theoretical analysis of a rotating shallow liquid in a rigid container. Zbl 0715.35067
Levi, D.; Nucci, M. C.; Rogers, C.; Winternitz, P.
1989
On the Bergman operator method and anti-plane contact problems involving an inhomogeneous half-space. Zbl 0381.73101
Clements, D. L.; Rogers, C.
1978
Nondissipative magneto-hydrodynamic flows with magnetic and velocity field lines orthogonal geodesics. Zbl 0278.76045
Rogers, Colin; Kingston, John G.
1974
On Ermakov-Painlevé II systems. Integrable reduction. Zbl 1374.37086
Rogers, Colin; Schief, Wolfgang K.
2016
On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem. Zbl 1320.34029
Amster, Pablo; Rogers, Colin
2015
On a Neumann boundary value problem for the Painlevé II equation in two-ion electro-diffusion. Zbl 1218.34018
Amster, Pablo; Kwong, Man Kam; Rogers, Colin
2011
Novel integrable reductions in nonlinear continuum mechanics via geometric constraints. Zbl 1062.37079
Rogers, C.; Schief, W. K.
2003
On geodesic hydrodynamic motions. Heisenberg spin connections. Zbl 0970.35113
Rogers, C.; Schief, W. K.
2000
Bäcklund and generalized Legendre transformations in gasdynamics. Zbl 0175.51502
Power, G.; Rogers, C.; Osborn, R. A.
1969
Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation. Zbl 1311.35275
Chow, Kwok W.; Rogers, Colin
2013
On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. Zbl 0790.35103
1993
A note on the onset of melting in a class of simple metals condition on the applied boundary flux. Zbl 0677.35055
Rogers, Colin; Guo, Benyu
1988
Bergman’s integral operator method in inhomogeneous elasticity. Zbl 0417.73018
Rogers, C.; Clements, D. L.
1978
On Madelung systems in nonlinear optics: a reciprocal invariance. Zbl 1388.78010
Rogers, Colin; Malomed, Boris
2018
The classical Korteweg capillarity system: geometry and invariant transformations. Zbl 1304.35652
Rogers, C.; Schief, W. K.
2014
A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions. Zbl 1300.65052
Amster, Pablo; Kwong, Man Kam; Rogers, Colin
2014
Carroll-type deformations in nonlinear elastodynamics. Zbl 1296.35179
Rogers, C.; Saccomandi, G.; Vergori, L.
2014
On boundary value problems in three-ion electrodiffusion. Zbl 1124.34004
Amster, P.; Rogers, C.
2007
On two-point boundary value problems in multi-ion electrodiffusion. Zbl 1055.34029
Amster, P.; Mariani, M. C.; Rogers, C.; Tisdell, C. C.
2004
Dirichlet and periodic-type boundary value problems for Painlevé II. Zbl 1002.34082
Mariani, M. C.; Amster, P.; Rogers, C.
2002
Bäcklund and reciprocal transformations: Gauge connections. Zbl 0754.35140
Konopel’chenko, B. G.; Rogers, C.
1992
On Harry-Dym equation and its solution. Zbl 0686.35098
Guo, Benyu; Rogers, C.
1989
On wave propagation in inhomogeneous elastic media. Zbl 0281.73016
Clements, D. L.; Rogers, C.
1974
Moving boundary problems for an extended Dym equation. Reciprocal connection. Zbl 1380.35169
Rogers, Colin
2017
Moving boundary problems for the Harry Dym equation and its reciprocal associates. Zbl 1330.35549
Rogers, Colin
2015
Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations. Zbl 1200.35269
Rogers, C.; Schief, W. K.; Szereszewski, A.
2010
A Bäcklund transformation for L-isothermic surfaces. Zbl 1187.53009
Rogers, C.; Szereszewski, A.
2009
On the equilibrium of shell membranes under normal loading. Hidden integrability. Zbl 1042.37056
Rogers, C.; Schief, W. K.
2003
Loewner transformations: Adjoint and binary Darboux connections. Zbl 1002.37035
Schief, W. K.; Rogers, C.
1998
A note on a capillarity model and the nonlinear Schrödinger equation. Zbl 0918.35128
Antanovskii, L. K.; Rogers, C.; Schief, W. K.
1997
Reciprocal-type transformations in magnetogasdynamics. Zbl 0439.76095
Rogers, C.; Kingston, J. G.; Shadwick, W. F.
1980
Substitution principles in nonsteady magneto-gasdynamics. Zbl 0191.26101
Power, G.; Rogers, C.
1969
On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations. Zbl 1354.33017
Rogers, Colin
2016
Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions. Zbl 07063953
Rogers, C.; Saccomandi, G.; Vergori, L.
2015
A Neumann boundary value problem in two-ion electro-diffusion with unequal valencies. Zbl 1264.34053
Amster, Pablo; Kwong, Man Kam; Rogers, Colin
2012
Invariants in a resonant derivative nonlinear Schrödinger model. Zbl 1238.81107
Rogers, Colin; Malomed, Boris; Chow, K. W.
2012
The Da Rios system under a geometric constraint: the Gilbarg problem. Zbl 1159.76311
Schief, W. K.; Rogers, C.
2005
Virasoro structure and localized excitations of the LKR system. Zbl 1063.37056
Lou, S. Y.; Rogers, C.; Schief, W. K.
2003
The classical Bäcklund transformation and integrable discretisation of characteristic equations. Zbl 1053.37523
Rogers, C.; Schief, W. K.
1997
Initial/boundary value problems and Darboux-Levi-type transformations associated with a $$2+1$$-dimensional eigenfunction equation. Zbl 0836.35143
Rogers, C.; Schief, W. K.; Stallybrass, M. P.
1995
The finite elastodynamics of hyperelastic thin tubes. Zbl 0441.73076
Rogers, C.; Baker, J. A.
1980
Radial propagation of axial shear waves in an incompressible elastic material under finite deformation. Zbl 0341.73017
Moodie, T. Bryant; Rogers, C.; Clements, D. L.
1976
On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations. Zbl 1428.80008
Rogers, Colin
2019
Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061
Rogers, Colin; Clarkson, Peter A.
2018
On integrable Ermakov-Painlevé IV systems. Zbl 1393.34083
Rogers, Colin; Bassom, Andrew P.; Clarkson, Peter A.
2018
Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system. Zbl 1380.37133
Rogers, Colin; Clarkson, Peter A.
2017
On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation. Zbl 1326.34041
Amster, Pablo; Rogers, Colin
2015
Hybrid Ermakov-Painlevé IV systems. Zbl 1420.35378
Rogers, Colin
2014
On a coupled nonlinear Schrödinger system: a Ermakov connection. Zbl 1288.35436
Rogers, Colin
2014
On a 2+1-dimensional Whitham-Broer-Kaup system: a resonant NLS connection. Zbl 1236.35171
Rogers, Colin; Pashaev, Oktay
2011
Bäcklund transformations and superposition principles in nonlinear elastodynamics. Zbl 1187.37105
Rogers, C.; Schief, W. K.
2010
Propagating wave patterns for the ‘resonant’ Davey-Stewartson system. Zbl 1198.81045
Tang, X. Y.; Chow, K. W.; Rogers, C.
2009
Upper estimates for a moving boundary problem for resonant nonlinear Schrödinger equations. Zbl 1191.35252
Flavin, J. N.; Rogers, C.
2008
The Lamé equation in shell membrane theory. Zbl 1144.81406
Schief, W. K.; Szereszewski, A.; Rogers, C.
2007
Doubly periodic and multiple pole solutions of the sinh-Poisson equation: application of reciprocal transformations in subsonic gas dynamics. Zbl 1083.76040
Chow, K. W.; Mak, C. C.; Rogers, C.; Schief, W. K.
2006
Vortex trains in super-Alfvénic magnetogasdynamics. Application of reciprocal-Bäcklund transformations. Zbl 1362.76065
Rogers, C.; Schief, W. K.
2005
On complex-lamellar motion of a Prim gas. Zbl 1007.76074
Rogers, C.; Schief, W. K.; Hui, W. H.
2002
On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations. Zbl 1428.80008
Rogers, Colin
2019
Moving boundary problems for heterogeneous media. Integrability via conjugation of reciprocal and integral transformations. Zbl 07107739
Rogers, Colin
2019
On Madelung systems in nonlinear optics: a reciprocal invariance. Zbl 1388.78010
Rogers, Colin; Malomed, Boris
2018
Ermakov-Painlevé II reduction in cold plasma physics. Application of a Bäcklund transformation. Zbl 1411.37061
Rogers, Colin; Clarkson, Peter A.
2018
On integrable Ermakov-Painlevé IV systems. Zbl 1393.34083
Rogers, Colin; Bassom, Andrew P.; Clarkson, Peter A.
2018
Multi-component Ermakov and non-autonomous many-body system connections. Zbl 1446.70016
Rogers, Colin
2018
On a novel resonant Ermakov-NLS system: Painlevé reduction. Zbl 1405.35199
Rogers, Colin; Schief, Wolfgang K.
2018
Cnoidal and gausson phenomena in nonlinear elastodynamics. Zbl 1396.74029
Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi
2018
Moving boundary problems for an extended Dym equation. Reciprocal connection. Zbl 1380.35169
Rogers, Colin
2017
Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system. Zbl 1380.37133
Rogers, Colin; Clarkson, Peter A.
2017
On hybrid Ermakov-Painlevé systems. Integrable reduction. Zbl 1420.34108
Rogers, Colin
2017
On modulated NLS-Ermakov systems. Zbl 1420.35379
Rogers, Colin; Chow, Kwok
2017
On Ermakov-Painlevé II systems. Integrable reduction. Zbl 1374.37086
Rogers, Colin; Schief, Wolfgang K.
2016
On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations. Zbl 1354.33017
Rogers, Colin
2016
Ermakov-modulated nonlinear Schrödinger models. Integrable reduction. Zbl 1420.34064
Rogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi
2016
On a class of reciprocal Stefan moving boundary problems. Zbl 1321.35265
Rogers, Colin
2015
On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem. Zbl 1320.34029
Amster, Pablo; Rogers, Colin
2015
Moving boundary problems for the Harry Dym equation and its reciprocal associates. Zbl 1330.35549
Rogers, Colin
2015
Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions. Zbl 07063953
Rogers, C.; Saccomandi, G.; Vergori, L.
2015
On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation. Zbl 1326.34041
Amster, Pablo; Rogers, Colin
2015
A novel Ermakov-Painlevé II system: $$N+1$$-dimensional coupled NLS and elastodynamic reductions. Zbl 1297.35235
Rogers, Colin
2014
The classical Korteweg capillarity system: geometry and invariant transformations. Zbl 1304.35652
Rogers, C.; Schief, W. K.
2014
A Painlevé II model in two-ion electrodiffusion with radiation boundary conditions. Zbl 1300.65052
Amster, Pablo; Kwong, Man Kam; Rogers, Colin
2014
Carroll-type deformations in nonlinear elastodynamics. Zbl 1296.35179
Rogers, C.; Saccomandi, G.; Vergori, L.
2014
Hybrid Ermakov-Painlevé IV systems. Zbl 1420.35378
Rogers, Colin
2014
On a coupled nonlinear Schrödinger system: a Ermakov connection. Zbl 1288.35436
Rogers, Colin
2014
q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics. Zbl 1303.37026
Rogers, Colin; Ruggeri, Tommaso
2014
Integrable substructure in a Korteweg capillarity model. A Karman-Tsien type constitutive relation. Zbl 1420.35377
Rogers, Colin
2014
On $$q$$-Gaussian integrable Hamiltonian reductions in anisentropic magneto-gasdynamics. Zbl 1304.76050
Rogers, C.; Schief, W. K.
2014
On a Boussinesq capillarity system: Hamiltonian reductions and associated quartic geometries. Zbl 1290.35207
Rogers, C.; Schief, W. K.
2014
Universal and integrable aspects of an elliptic vortex representation in $$2+1$$-dimensional magneto-gasdynamics. Zbl 1308.76336
Schief, W. K.; An, Hongli; Rogers, Colin
2013
Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation. Zbl 1311.35275
Chow, Kwok W.; Rogers, Colin
2013
Ermakov-Ray-Reid reductions of variational approximations in nonlinear optics. Zbl 1280.35142
Rogers, Colin; Malomed, Boris; An, Hongli
2012
Bäcklund flux quantization in a model of electrodiffusion based on Painlevé. II. Zbl 1242.82037
Bracken, A. J.; Bass, L.; Rogers, C.
2012
A Neumann boundary value problem in two-ion electro-diffusion with unequal valencies. Zbl 1264.34053
Amster, Pablo; Kwong, Man Kam; Rogers, Colin
2012
Invariants in a resonant derivative nonlinear Schrödinger model. Zbl 1238.81107
Rogers, Colin; Malomed, Boris; Chow, K. W.
2012
On an integrable deformed affinsphären equation. A reciprocal gasdynamic connection. Zbl 1260.37041
Rogers, C.; Huang, Yehui
2012
A non-isothermal spinning magneto-gasdynamic cloud system A Hamiltonian-Ermakov integrable reduction. Zbl 06147738
Rogers, Colin; An, Hongli
2012
Connection of an integrable inhomogeneous Heisenberg spin equation to a hydrodynamic-type system with collision term. Zbl 1253.82018
Rogers, C.; Schief, W. K.
2012
On the geometry of complex-lamellar magnetohydrodynamics: universal motions. Zbl 06055476
Rogers, C.; Szereszewski, A.
2012
The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability. Zbl 1272.76200
Rogers, C.; Schief, W. K.
2011
On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system. Zbl 1256.35111
Rogers, C.; Schief, W. K.
2011
On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction. Zbl 1264.35227
Rogers, Colin; An, Hongli
2011
On a Neumann boundary value problem for the Painlevé II equation in two-ion electro-diffusion. Zbl 1218.34018
Amster, Pablo; Kwong, Man Kam; Rogers, Colin
2011
On a 2+1-dimensional Whitham-Broer-Kaup system: a resonant NLS connection. Zbl 1236.35171
Rogers, Colin; Pashaev, Oktay
2011
Ermakov-Ray-Reid systems in nonlinear optics. Zbl 1207.78034
Rogers, Colin; Malomed, Boris; Chow, Kwok; An, Hongli
2010
Electrical structures of interfaces: a Painlevé II model. Zbl 1192.35173
Bass, L.; Nimmo, J. J. C.; Rogers, C.; Schief, W. K.
2010
Ermakov-Ray-Reid systems in $$(2+1)$$-dimensional rotating shallow water theory. Zbl 1209.37104
Rogers, Colin; An, Hongli
2010
Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations. Zbl 1200.35269
Rogers, C.; Schief, W. K.; Szereszewski, A.
2010
Bäcklund transformations and superposition principles in nonlinear elastodynamics. Zbl 1187.37105
Rogers, C.; Schief, W. K.
2010
Modulated waves and helicoidal pseudospherical surfaces in nonlinear inhomogeneous elasticity. Zbl 1381.74041
Schief, W. K.; Rogers, C.
2010
Application of a Bäcklund transformation in nonlinear elastodynamics: two-pulse interaction. Zbl 1326.74070
Rogers, C.; Schief, W. K.; Mentrelli, A.; Ruggeri, T.
2010
Integrable structure in the theory of stress concentration in shear-strained nonlinear elastic materials. Zbl 1351.74037
Rogers, C.; Schief, W. K.
2010
A Bäcklund transformation for L-isothermic surfaces. Zbl 1187.53009
Rogers, C.; Szereszewski, A.
2009
Propagating wave patterns for the ‘resonant’ Davey-Stewartson system. Zbl 1198.81045
Tang, X. Y.; Chow, K. W.; Rogers, C.
2009
On shell membranes of Enneper type: generalized Dupin cyclides. Zbl 1422.74066
Schief, W. K.; Szereszewski, A.; Rogers, C.
2009
Boundary value problems on the half-line for a generalised Painlevé II equation. Zbl 1177.34042
Amster, Pablo; Vicchi, Leonardo; Rogers, Colin
2009
On a Bernoulli-integrable magnetohydrodynamic system. Zbl 1169.76061
Rogers, C.; Schief, W. K.
2009
Soliton resonances in a generalized nonlinear Schrödinger equation. Zbl 1157.35106
Pashaev, Oktay K.; Lee, Jyh-Hao; Rogers, Colin
2008
Upper estimates for a moving boundary problem for resonant nonlinear Schrödinger equations. Zbl 1191.35252
Flavin, J. N.; Rogers, C.
2008
Painlevé structure of a multi-ion electrodiffusion system. Zbl 1177.82098
Conte, R.; Rogers, C.; Schief, W. K.
2007
On boundary value problems in three-ion electrodiffusion. Zbl 1124.34004
Amster, P.; Rogers, C.
2007
The Lamé equation in shell membrane theory. Zbl 1144.81406
Schief, W. K.; Szereszewski, A.; Rogers, C.
2007
A novel class of model constitutive laws in nonlinear elasticity: construction via Loewner theory. Zbl 1126.74007
Rogers, C.; Schief, W. K.; Chow, K. W.
2007
On two-pulse and shock evolution in a class of ideally hard elastic materials. Zbl 1122.74030
Mentrelli, A.; Rogers, C.; Ruggeri, T.; Schief, W. K.
2007
On the kinematics of $$2+1$$-dimensional motions of a fibre-reinforced fluid. Integrable connections. Zbl 1107.76035
Schief, W. K.; Rogers, C.; Murugesh, S.
2007
Doubly periodic and multiple pole solutions of the sinh-Poisson equation: application of reciprocal transformations in subsonic gas dynamics. Zbl 1083.76040
Chow, K. W.; Mak, C. C.; Rogers, C.; Schief, W. K.
2006
On orthogonal homentropic magneto-gasdynamics in two dimensions. Zbl 1099.35102
Rogers, C.; Schief, W. K.
2006
Existence of solutions to boundary value problems for dynamic systems on time scales. Zbl 1085.34013
Amster, P.; Rogers, C.; Tisdell, C. C.
2005
Evolution of methacrylate distribution during wood saturation. Zbl 1064.92030
Fokas, A. S.; Rogers, C.; Schief, W. K.
2005
The Da Rios system under a geometric constraint: the Gilbarg problem. Zbl 1159.76311
Schief, W. K.; Rogers, C.
2005
Vortex trains in super-Alfvénic magnetogasdynamics. Application of reciprocal-Bäcklund transformations. Zbl 1362.76065
Rogers, C.; Schief, W. K.
2005
On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides. Zbl 1186.74079
Schief, W. K.; Kléman, M.; Rogers, C.
2005
On Tzitzéica vortex streets and their reciprocals in subsonic gas dynamics. Zbl 1145.76397
Rogers, C.; Schief, W. K.; Chow, K. W.; Mak, C. C.
2005
On two-point boundary value problems in multi-ion electrodiffusion. Zbl 1055.34029
Amster, P.; Mariani, M. C.; Rogers, C.; Tisdell, C. C.
2004
Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation. Zbl 1211.76097
Rogers, C.; Schief, W. K.
2004
Novel integrable reductions in nonlinear continuum mechanics via geometric constraints. Zbl 1062.37079
Rogers, C.; Schief, W. K.
2003
On the equilibrium of shell membranes under normal loading. Hidden integrability. Zbl 1042.37056
Rogers, C.; Schief, W. K.
2003
Virasoro structure and localized excitations of the LKR system. Zbl 1063.37056
Lou, S. Y.; Rogers, C.; Schief, W. K.
2003
Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces. Zbl 1211.74138
Rogers, C.; Schief, W. K.; Wylie, J.
2003
The kinematics of the planar motion of ideal fiber-reinforced fluids: an integrable reduction and Bäcklund transformation. Zbl 1178.37089
Rogers, C.; Schief, W. K.
2003
The kinematics of fibre-reinforced fluids. An integrable reduction. Zbl 1081.76057
Schief, W. K.; Rogers, C.
2003
Bäcklund and Darboux transformations. Geometry and modern applications in soliton theory. Zbl 1019.53002
Rogers, C.; Schief, W. K.
2002
Dirichlet and periodic-type boundary value problems for Painlevé II. Zbl 1002.34082
Mariani, M. C.; Amster, P.; Rogers, C.
2002
On complex-lamellar motion of a Prim gas. Zbl 1007.76074
Rogers, C.; Schief, W. K.; Hui, W. H.
2002
Isothermic surfaces generated via Bäcklund and Moutard transformations: boomeron and zoomeron connections. Zbl 1152.53306
Degasperis, A.; Rogers, C.; Schief, W. K.
2002
Infinitesimal Bäcklund transformations of $$K$$-nets. The 2+1-dimensional sinh-Gordon system. Zbl 0992.35084
Rogers, C.; Schief, W. K.
2001
On geodesic hydrodynamic motions. Heisenberg spin connections. Zbl 0970.35113
Rogers, C.; Schief, W. K.
2000
Bäcklund and his works: Applications in soliton theory. Zbl 0962.35149
Rogers, Colin; Schief, Wolfgang K.; Johnston, Mark E.
2000
Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces. Zbl 0981.53061
Schief, W. K.; Rogers, C.
1999
On a Painlevé II model in steady electrolysis: Application of a Bäcklund transformation. Zbl 0944.34076
Rogers, Colin; Bassom, Andrew P.; Schief, Wolfgang K.
1999
Intrinsic geometry of the NLS equation and its auto-Bäcklund transformation. Zbl 1020.35100
Rogers, C.; Schief, W. K.
1998
Loewner transformations: Adjoint and binary Darboux connections. Zbl 1002.37035
Schief, W. K.; Rogers, C.
1998
Reciprocal transformations of two-component hyperbolic systems and their invariants. Zbl 0939.35117
Ferapontov, E. V.; Rogers, C.; Schief, W. K.
1998
Lie-theoretical generalization and discretization of the Pinney equation. Zbl 0910.34013
Rogers, C.; Schief, W. K.; Winternitz, P.
1997
A note on a capillarity model and the nonlinear Schrödinger equation. Zbl 0918.35128
Antanovskii, L. K.; Rogers, C.; Schief, W. K.
1997
The classical Bäcklund transformation and integrable discretisation of characteristic equations. Zbl 1053.37523
Rogers, C.; Schief, W. K.
1997
On a Laplace sequence of nonlinear integrable Ernst-type equations. Zbl 0869.35092
Schief, W. K.; Rogers, C.
1997
Multi-component Ermakov systems: Structure and linearization. Zbl 0849.34008
Rogers, C.; Schief, W. K.
1996
Ermakov systems of arbitrary order and dimension: Structure and linearization. Zbl 0916.34016
Schief, W. K.; Rogers, C.; Bassom, A. P.
1996
...and 81 more Documents
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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
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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
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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)

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