Colin Rogers

Articles in Scholarly Journals [Incomplete List]

  1. The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund–Darboux transformations and superposition principles
    Journal of Plasma Physics, vol. 73, no. 02, p. 257, 2007
  2. The Lame´ equation in shell membrane theory
    Journal of Mathematical Physics, vol. 48, no. 7, p. 073510, 2007
  3. On the kinematics of 2+1-dimensional motions of a fibre-reinforced fluid. Integrable connections
    The Quarterly Journal of Mechanics and Applied Mathematics, vol. 60, no. 1, pp. 49–64, 2007
  4. Doubly periodic and multiple pole solutions of the sinh-Poisson equation: Application of reciprocal transformations in subsonic gas dynamics
    Journal of Computational and Applied Mathematics, vol. 190, no. 1-2, pp. 114–126, 2006
  5. On orthogonal homentropic magnetogasdynamics in two dimensions
    ZAMM, vol. 86, no. 6, pp. 464–473, 2006
  6. The Da Rios system under a geometric constraint: the Gilbarg problem
    Journal of Geometry and Physics, vol. 54, no. 3, pp. 286–300, 2005
  7. Existence of solutions to boundary value problems for dynamic systems on time scales
    Journal of Mathematical Analysis and Applications, vol. 308, no. 2, pp. 565–577, 2005
  8. Evolution of methacrylate distribution during wood saturation
    Applied Mathematics Letters, vol. 18, no. 3, pp. 321–328, 2005
  9. On a nonlinear elastic shell system in liquid crystal theory: generalized Willmore surfaces and Dupin cyclides
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 461, no. 2061, pp. 2817–2837, 2005
  10. On Tzitzeica Vortex Streets and Their Reciprocals in Subsonic Gas Dynamics
    Studies in Applied Mathematics, vol. 114, no. 3, pp. 271–283, 2005
  11. Vortex Trains in Super-Alfvenic Magnetogasdynamics. Application of Reciprocal-Backlund Transformations
    Journal of Non-linear Mathematical Physics, vol. 12, no. Supplement 1, Article ID 494, 2005
  12. On a Nonlinear Discretized LKR System: Reductions and Underlying Virasoro Symmetry Algebras
    Studies in Applied Mathematics, vol. 113, no. 4, pp. 353–380, 2004
  13. Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation
    International Journal of Engineering Science, vol. 42, no. 19-20, pp. 2065–2078, 2004
  14. On two-point boundary value problems in multi-ion electrodiffusion
    Journal of Mathematical Analysis and Applications, vol. 289, no. 2, pp. 712–721, 2004
  15. Wave propagation in ideally hard inhomogeneous elastic materials associated with pseudospherical surfaces
    International Journal of Engineering Science, vol. 41, no. 17, pp. 1965–1974, 2003
  16. Theoretical and Mathematical Physics, vol. 137, no. 2, pp. 1598–1608, 2003
  17. Novel integrable reductions in nonlinear continuum mechanics via geometric constraints
    Journal of Mathematical Physics, vol. 44, no. 8, p. 3341, 2003
  18. Virasoro structure and localized excitations of the LKR system
    Journal of Mathematical Physics, vol. 44, no. 12, p. 5869, 2003
  19. On the equilibrium of shell membranes under normal loading. Hidden integrability
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 459, no. 2038, pp. 2449–2462, 2003
  20. The Kinematics of Fibre-Reinforced Fluids. An Integrable Reduction
    The Quarterly Journal of Mechanics and Applied Mathematics, vol. 56, no. 4, pp. 493–512, 2003
  21. Wave Turbulence Is Almost Always Intermittent at Either Small or Large Scales
    Studies in Applied Mathematics, vol. 108, no. 1, pp. 39–64, 2002
  22. Dirichlet and Periodic-Type Boundary Value Problems for Painlevé II
    Journal of Mathematical Analysis and Applications, vol. 265, no. 1, pp. 1–11, 2002
  23. On Complex-Lamellar Motion of a Prim Gas
    Journal of Mathematical Analysis and Applications, vol. 266, no. 1, pp. 55–69, 2002
  24. Initial/Boundary Value Problems for Simultaneous Evolution Equations in Three Dimensions
    Studies in Applied Mathematics, vol. 107, no. 4, pp. 391–401, 2001
  25. Bäcklund transformations and the integrable discretisation of characteristic equations
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 107–113, 2000
  26. On Geodesic Hydrodynamic Motions. Heisenberg Spin Connections
    Journal of Mathematical Analysis and Applications, vol. 251, no. 2, pp. 855–870, 2000
  27. On a Painlevé II Model in Steady Electrolysis: Application of a Bäcklund Transformation?
    Journal of Mathematical Analysis and Applications, vol. 240, no. 2, pp. 367–381, 1999
  28. Journal of Engineering Mathematics, vol. 36, no. 1/2, pp. 137–148, 1999
  29. Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1988, pp. 3163–3188, 1999
  30. Loewner Transformations: Adjoint and Binary Darboux Connections
    Studies in Applied Mathematics, vol. 100, no. 4, pp. 391–422, 1998
  31. Intrinsic Geometry of the NLS Equation and Its Auto-Backlund Transformation
    Studies in Applied Mathematics, vol. 101, no. 3, pp. 267–287, 1998
  32. Reciprocal Transformations of Two-Component Hyperbolic Systems and Their Invariants
    Journal of Mathematical Analysis and Applications, vol. 228, no. 2, pp. 365–376, 1998
  33. Lie-Theoretical Generalization and Discretization of the Pinney Equation
    Journal of Mathematical Analysis and Applications, vol. 216, no. 1, pp. 246–264, 1997
  34. Journal of Physics A: Mathematical and General, vol. 30, no. 16, pp. L555–L557, 1997
  35. The classical Bäcklund transformation and integrable discretisation of characteristic equations
    Physics Letters A, vol. 232, no. 3-4, pp. 217–223, 1997
  36. Journal of Physics A: Mathematical and General, vol. 29, no. 4, pp. 903–911, 1996
  37. Multi-component Ermakov Systems: Structure and Linearization
    Journal of Mathematical Analysis and Applications, vol. 198, no. 1, pp. 194–220, 1996
  38. Formal analysis of the Cauchy problem for a system associated with the (2+1)-dimensional Krichever-Novikov equation
    Acta Applicandae Mathematicae, vol. 42, no. 3, pp. 249–265, 1996
  39. The Nizhnik-Veselov-Novikov equation: Associated boundary value problems
    International Journal of Non-Linear Mechanics, vol. 31, no. 4, pp. 441–450, 1996
  40. Initial/boundary value problems and Darboux-Levi-type transformations associated with a 2 + 1-dimensional eigenfunction equation
    International Journal of Non-Linear Mechanics, vol. 30, no. 3, pp. 223–233, 1995
  41. On a 2 + 1-dimensional Darboux system: Integrable and geometric connections
    Chaos, Solitons & Fractals, vol. 5, no. 12, pp. 2357–2366, 1995
  42. An invariance of the (2 + 1)-dimensional Harry-Dym equation: Application to initial/boundary value problems
    International Journal of Non-Linear Mechanics, vol. 29, no. 2, pp. 145–154, 1994
  43. On generalized Loewner systems: Novel integrable equations in 2+1 dimensions
    Journal of Mathematical Physics, vol. 34, no. 1, p. 214, 1993
  44. Reviews in Mathematical Physics, vol. 5, no. 2, p. 299, 1993
  45. A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation
    Physics Letters A, vol. 172, no. 1-2, pp. 39–48, 1992
  46. On (2+1)-dimensional nonlinear systems of Loewner-type
    Physics Letters A, vol. 158, no. 8, pp. 391–397, 1991
  47. On linearization of the Ermakov system
    Physics Letters A, vol. 143, no. 4-5, pp. 207–212, 1990
  48. Application to maximum principles to boundary value problems in nonlinear heat conduction
    Nonlinear Analysis, vol. 14, no. 4, pp. 293–304, 1990
  49. Group invariance of a neo-Hookean system: incorporation of stretch change
    Journal of Elasticity, vol. 24, no. 1-3, pp. 295–300, 1990
  50. Exact solutions for vertical drainage and redistribution in soils
    Journal of Engineering Mathematics, vol. 24, no. 1, pp. 25–43, 1990
  51. Elliptic warm-core theory: The pulsrodon
    Physics Letters A, vol. 138, no. 6-7, pp. 267–273, 1989
  52. A non-linear superposition principle and lie group invariance: Application in rotating shallow water theory
    International Journal of Non-Linear Mechanics, vol. 24, no. 3, pp. 229–236, 1989
  53. On a nonlinear moving boundary problem with heterogeneity: application of a reciprocal transformation
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 39, no. 1, pp. 122–128, 1988
  54. The Harry Dym equation in 2+1 dimensions: A reciprocal link with the Kadomtsev-Petviashvili equation
    Physics Letters A, vol. 120, no. 1, pp. 15–18, 1987
  55. On a stefan problem involving a spherical region: application of a Bergman-type expansion
    Applied Mathematics and Computation, vol. 18, no. 2, pp. 143–154, 1986
  56. On a class of moving boundary problems in non-linear heat conduction: Application of a Bäcklund transformation
    International Journal of Non-Linear Mechanics, vol. 21, no. 4, pp. 249–256, 1986
  57. Pad? extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction
    Journal of Engineering Mathematics, vol. 20, no. 2, pp. 145–161, 1986
  58. Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of bergman-type series
    International Journal of Engineering Science, vol. 23, no. 4, pp. 415–424, 1985
  59. Application of linked Ba¨cklund transformations to nonlinear boundary value problems
    Journal of Mathematical Physics, vol. 26, no. 3, p. 393, 1985
  60. On an analogy between plane finite elastic deformations and certain magnetohydrodynamic flows
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 35, no. 1, pp. 24–33, 1984
  61. SIAM Journal on Applied Mathematics, vol. 44, no. 5, Article ID 0144068, 1984
  62. On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
    Nonlinear Analysis, vol. 7, no. 7, pp. 785–799, 1983
  63. Fokker-Planck equations chain-reducible to canonical form via Bäcklund transformations
    Physics Letters A, vol. 99, no. 4, pp. 136–142, 1983
  64. Reciprocal bäcklund transformations of conservation laws
    Physics Letters A, vol. 92, no. 6, pp. 261–264, 1982
  65. On complementary extremum principles
    Journal of Mathematical Analysis and Applications, vol. 62, no. 3, pp. 445–452, 1978
  66. SIAM Journal on Applied Mathematics, vol. 34, no. 4, Article ID 0134065, 1978
  67. Non-linear dielectrics
    Computers & Mathematics with Applications, vol. 3, no. 2, pp. 105–112, 1977
  68. Transient displacement and stress in non-homogeneous elastic shells
    Journal of Elasticity, vol. 7, no. 2, pp. 171–184, 1977
  69. Iterated Baecklund-type transformations and the propagation of disturbances in nonlinear elastic materials
    Journal of Mathematical Analysis and Applications, vol. 49, no. 3, pp. 638–648, 1975
  70. SIAM Journal on Applied Mathematics, vol. 28, no. 1, Article ID 0128002, 1975
  71. SIAM Journal on Applied Mathematics, vol. 26, no. 1, Article ID 0126015, 1974
  72. The construction of invariant transformations in plane rotational gasdynamics
    Archive for Rational Mechanics and Analysis, vol. 47, no. 1, 1972