Publications - By Year

Department of Mathematics & Statistics




Publications - By Year


Preprints

  •  S.C. Anco and W. Feng, Accepted in J. Math. Phys. (2013)
    Group-invariant solutions of semilinear Schrodinger equations in multi-dimensions
    e-print archive arXiv:math-ph/1301.5529

 

Journal Articles and Refereed Conference Proceedings

  • S.C. Anco, J. Math. Fluid Mech. 15 (2013), 439-451
    New conserved vorticity integrals for moving surfaces in multi-dimensional fluid flow
    e-print archive arXiv:math-ph/1209.4251
  • S.C. Anco and E. Asadi, J. Phys. A: Math. Theor. 45 (2012), 475207 (38 pages)
    Symplectically-invariant soliton equations from non-stretching geometric curve flows
    e-print archive arXiv:nlin/1206.4040
  • S.C. Anco, M. Mohuddin, and T. Wolf, Appl. Math. Comput. 219 (2012) 679–698
    Travelling waves and conservation laws for complex mKdV-type equations
    e-print archive arXiv:math-ph/1110.2403
  • S.C. Anco, S. MacNaughton, and T. Wolf, J. Math. Phys. 53 (2012), 053703 (33 pages)
    Conservation laws and symmetries of quasilinear radial wave equations in multi-dimensions
    e-print archive arXiv:math-ph/1109.1719
  • S.C. Anco, S. Ali ,and T. Wolf, SIGMA 7 (2011), 066 (10 pages)
    Exact solutions of nonlinear partial differential equations by the method of group foliation reduction
    (Proceedings of Conference on Symmetry, Separation, Super-integrability and Special Functions (S4), 2010)
    e-print archive arXiv:math-ph/1105.5303
  • S.C. Anco, N. Tchegoum Ngatat, and M. Willoughby, Physica D 240 (2011) 1378-1394
    Interaction properties of complex mKdV solitons
    e-print archive arXiv:nlin/1102.3620
  • S.C. Anco, S. Ali, and T. Wolf, J. Math. Anal. Appl. 379 (2011), 748-763
    Symmetry analysis and exact solutions of semilinear heat flow in multi-dimension
    e-print archive arXiv:math/1011.4633
  • S.C. Anco and R. Myrzakulov, J. Geom. Phys. 60 (2010), 1576-1603
    Integrable generalizations of Schrodinger maps and Heisenberg spin models
    from Hamiltonian flows of curves and surfaces
    e-print archive arXiv:nlin/0806.1360
  • S.C. Anco and A. Dar, Proc. Roy. Soc. A 466 (2010), 2605-2632
    Conservation laws of inviscid non-isentropic compressible fluid flow in $n>1$ sp
    atial dimensions
    e-print archive arXiv:physics.flu-dyn/0911.0882
  • S.C. Anco and E. Asadi, J. Phys. A: Math. Theor. 42 (2009), 485201 (25 pages)
    Quaternion soliton equations from Hamiltonian curve flows in HP^n
    e-print archive arXiv:math-ph/0905.4215
  • S.C. Anco and A. Dar, Proc. Roy. Soc. A 465 (2009), 2461-2488
    Classification of conservation laws of compressible isentropic fluid flow in n>
    1 spatial dimensions
    e-print archive arXiv:physics.flu-dyn/0902.3405
  • S.C. Anco and S. Vacaru, J. Geom. Phys. 59  (2009), 79-103
    Curve flows in Lagrange-Finsler geometry, bi-Hamiltonian structures and solitons
    e-print archive arXiv:math-ph/0609070
  • G. Bluman, A. Cheviakov, and S.C. Anco, in Group Analysis of Differential Equations and Integrable Systems (2008), 13-35
    Construction of conservation laws: How the Direct Method generalizes Noether's theorem
    (Proceedings of 4th International Workshop on Group Analysis of Differential Equations and Integrable Systems, 2007)
  • S.C. Anco, G. Bluman, and T. Wolf, Acta Appl. Math. 101 (2008), 21-38
    Invertible mappings of nonlinear PDEs to linear PDEs through admitted
    conservation laws
    (Proceedings of International Conference on  Geometry and Algebra of PDEs, 2007)
    e-print archive arXiv:math-ph/0712.1835
  • J. Pohjanpelto and S.C. Anco, SIGMA 4 (2008), 004 (17 pages)
    Generalized symmetries of massless free fields on Minkowski space
    (Proceedings of the 7th International Conference on Symmetry in Nonlinear Mathematical Physics, 2007)
    e-print archive arXiv:math-ph/0801.1892
  • S.C. Anco, Inter. J. Theor. Phys. 47 (2008), 684-695
    Spinor derivation of quasilocal mean curvature mass in General Relativity
    e-print archive arXiv:math-ph/1310.8199
  • A. Cheviakov and S.C. Anco, Phys. Lett. A 372 (2008), 1363-1373
    Analytical properties and exact solutions of static plasma equilibrium systems in three dimensions
    e-print archive arXiv:0708.4247
  • S.C. Anco, J. Geom. Phys. 58 (2008), 1-37
    Group-invariant soliton equations and bi-Hamiltonian geometric curve flows in Riemannian symmetric spaces
    e-print archive arXiv:nlin/0703041
  • S.C. Anco, in IMA Volumes in Mathematics and Its Applications, 144 (2007), 223-250
    Hamiltonian curve flows in Lie groups G \subset U(N) and vector NLS, mKdV, sine-Gordon soliton equations
    (Proceedings of IMA Workshop on Symmetries and Overdetermined Systems of Partial Differential Equations, 2006)
    e-print archive arXiv:nlin/0610075
  • S.C. Anco, J. Math. Phys. 48 (2007), 052502 (32 pages)
    Mean curvature flow and quasilocal mass for 2-surfaces in Hamiltonian General Relativity
    e-print archive arXiv:gr-qc/0402057
  • S.C. Anco and N. Ivanova, J. Math. Anal. Appl. 332 (2006), 863-876
    Conservation laws and symmetries of semilinear radial wave equations
    e-print archive arXiv:math-ph/0608037
  • S.C. Anco, J.Bland, and M. Eastwood,  Science in China Series A: Mathematics 49 (2006), 1599-1610
    Some Penrose transforms in complex differential geometry
    (Proceedings of 6th International Conference  on Several Complex Variables, 2006)
    journal archive
  • G. Bluman,Temuerchaolu, and S.C. Anco, J. Math. Anal. Appl. 322 (2006), 233-250
    New conservation laws obtained directly from symmetry action on known conservation laws
    journal archive
  • S.C. Anco, SIGMA 2 (2006), 044 (18 pages)
    Hamiltonian flows of curves in symmetric spaces G/SO(N) and vector soliton equations of mKdV and sine-Gordon type
    e-print archive arXiv:nlin/0512046
  • S.C. Anco, J. Phys. A: Math. Gen. 39 (2006), 2043-2072
    Bi-Hamiltonian operators, integrable flows of curves using moving frames, and geometric map equations
    e-print archive arXiv:nlin/0512051
  • S.C. Anco and D. The, Acta Appl. Math. 89 (2005), 1-52
    Symmetries, conservation laws, and cohomology of Maxwell's equations using potentials
    e-print archive arXiv:math-ph/0501052
  • S.C. Anco and T. Wolf, J. Nonlinear Math. Phys. 12, Supplement 1 (2005), 13-31;
    erratum, J. Nonlinear Math. Phys. 12 (2005), 607-608
    Some symmetry classifications of hyperbolic vector evolution equations
    e-print archive arXiv:nlin/0412015
  • S.C. Anco, Inter. J. Geometric Methods in Modern Physics 1 (2004), 493-544
    Gauge theory deformations and novel Yang-Mills Chern-Simon field theories with torsion
    (Special issue on Advanced Geometric Techniques in Gauge Theory)
    e-print archive arXiv:math-ph/0407026
  • S.C. Anco and S. Liu, J. Math. Analysis Appl. 297 (2004), 317-342
    Exact solutions of semilinear radial wave equations in n dimensions
    e-print archive arXiv:math-ph/0309049
  • S.C. Anco and J. Pohjanpelto, in CRM Proceedings and Lecture Notes, Volume 34 (2004), 1-12
    (Proceedings of Workshop on Symmetry in Physics, 2004)
    e-print archive arXiv:math-ph/0306072
  • S.C. Anco, Phys. Rev. D 67 (2003), 124007 (17 pages)
    Parity violating spin-two gauge theories.
    e-print archive arXiv:gr-qc/0305026
  • S.C. Anco, J. Phys. A: Math. and Gen. 36 (2003), 8623-8638
    Conservation laws of scaling-invariant field equations
    e-print archive arXiv:math-ph/0303066
  • S.C. Anco, J. Math. Phys. 44 (2003), 1006-1043
    Gauge theories of Yang-Mills vector fields coupled to antisymmetric tensor fields
    e-print archive arXiv:math-ph/0209051
  • S.C. Anco and J. Pohjanpelto, Proc. Roy. Soc. 459 (2003), 1215-1239
    Conserved currents of massless spin s fields
    e-print archive arXiv:math-ph/0202019
  • S.C. Anco, Class. Quant. Grav. 19 (2002), 6445-6467
    On multi-graviton and multi-gravitino gauge theories
    e-print archive arXiv:gr-qc/0303033
  • S.C. Anco, Lett. Math. Phys. 62 (2002), 245-258
    Exotic Yang-Mills dilaton gauge theories
    e-print archive arXiv:math-ph/0209052
  • S.C. Anco and R. Tung, J. Math. Physics 43 (2002), 5531-5566
    Covariant Hamiltonian boundary conditions in General Relativity for spatially bounded spacetime regions
    e-print archive arXiv:gr-qc/0109013
  • S.C. Anco and R. Tung, J. Math. Physics 43 (2002), 3984-4019
    Properties of the symplectic structure of General Relativity for spatially bounded spacetime regions
    e-print archive arXiv:gr-qc/0109014
  • S.C. Anco and G. Bluman, Euro. J. Appl. Math. 13 (2002), 567-585
    Direct construction method for conservation laws of partial differential equations II: General treatment
    e-print archive arXiv:math-ph/0108024
  • S.C. Anco and G. Bluman, Euro. J. Appl. Math. 13 (2002), 545-566
    Direct construction method for conservation laws of partial differential equations I: Examples of conservation law classifications
    e-print archive arXiv:math-ph/0108023
  • S.C. Anco and J. Pohjanpelto, Acta. Appl. Math. 69 (2001), 285-327
    Classification of local conservation laws of Maxwell's equations
    e-print archive arXiv:math-ph/0108017
  • S.C. Anco and J. Isenberg, Comm. Partial Diff. Eqs. 25 (2000) 1669-1702
    Global existence for wave maps with torsion
    e-print archive arXiv:math-ph/0007032
  • S.C. Anco, Ann. Phys. 270 (1998) 52-125
    Nonlinear gauge theories of a spin-two field and a spin-three-halves field
    journal archive
  • S.C. Anco and G. Bluman, Euro. J. Appl. Math. 9 (1998) 245-259
    Integrating factors and first integrals of ordinary differential equations
    journal archive
  • S.C. Anco, J. Math. Phys. 38 (1997) 3399-3413
    Novel generalization of three dimensional Yang-Mills theory
    e-print archive arXiv:math-ph/0209050
  • S.C. Anco and G. Bluman, J. Math. Phys. 38 (1997) 3508-3532
    Nonlocal symmetries and conservation laws of Maxwell's equations
    journal archive
  • S.C. Anco and G. Bluman, Phys. Rev. Lett. 78 (1997) 2869-2873
    Direct construction of conservation laws from field equations
    journal archive
  • S.C. Anco and G. Bluman, J. Math. Phys. 37 (1996) 2361-2375
    Derivation of conservation laws from nonlocal symmetries of differential equations
    journal archive
  • S.C. Anco, J. Math. Phys. 36 (1995) 6553-6565
    New spin-one gauge theory in three dimensions
    journal archive
  • S.C. Anco, Phys. Rev. D 50 (1994) 2648-2661
    Non-Grassmann generalization of classical supergravity theory
    journal archive
  • S.C. Anco, Contemp. Math. (Amer. Math. Soc.) 132 (1992) 27-50
    Construction of locally-symmetric Lagrangian field theories from variational identities
    journal archive
  • S.C. Anco and R.M. Wald, Phys. Rev. D 39 (1989) 2297-2307
    Does there exist a sensible quantum theory of an algebra-valued scalar field?
    journal archive