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Roman O. Popovych

Identifiers

  • name variant Roman O. Popovych 0.60 · backfill

Papers (54)

  1. GBDT and explicit solutions for the matrix coupled dispersionless equations (local and nonlocal cases) math.AP · 2019 · author #1
  2. Group analysis of general Burgers-Korteweg-de Vries equations math-ph · 2017 · author #3
  3. Algebraic method for group classification of (1+1)-dimensional linear Schr\"odinger equations math-ph · 2016 · author #3
  4. Group classification of linear evolution equations math-ph · 2016 · author #2
  5. Extended symmetry analysis of generalized Burgers equations math-ph · 2016 · author #2
  6. Algebraic method for finding equivalence groups math-ph · 2015 · author #3
  7. Equivalence groupoids of classes of linear ordinary differential equations and their group classification math.CA · 2014 · author #2
  8. Equivalence transformations in the study of integrability nlin.SI · 2013 · author #2
  9. Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping nlin.SI · 2013 · author #2
  10. Reduction operators of Burgers equation math-ph · 2012 · author #2
  11. Complete point symmetry group of the barotropic vorticity equation on a rotating sphere math-ph · 2012 · author #2
  12. Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients math.CA · 2012 · author #2
  13. Singular reduction modules of differential equations math-ph · 2012 · author #3
  14. Invariant discretization schemes for the shallow-water equations math-ph · 2012 · author #2
  15. Reduction operators and exact solutions of generalized Burgers equations math-ph · 2011 · author #2
  16. Lie reduction and exact solutions of vorticity equation on rotating sphere math-ph · 2011 · author #2
  17. Invariant parameterization and turbulence modeling on the beta-plane math-ph · 2011 · author #3
  18. Complete group classification of a class of nonlinear wave equations math-ph · 2011 · author #3
  19. Enhanced preliminary group classification of a class of generalized diffusion equations math-ph · 2010 · author #3
  20. Generalized conditional symmetries of evolution equations math-ph · 2010 · author #2
  21. Symmetry preserving parameterization schemes math-ph · 2010 · author #1
  22. Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem math-ph · 2010 · author #2
  23. Point symmetry group of the barotropic vorticity equation math-ph · 2010 · author #2
  24. Simplest potential conservation laws of linear evolution equations math-ph · 2010 · author #2
  25. Conservation laws and normal forms of evolution equations math-ph · 2010 · author #1
  26. More common errors in finding exact solutions of nonlinear differential equations. I nlin.SI · 2009 · author #1
  27. Is a nonclassical symmetry a symmetry? math-ph · 2009 · author #2
  28. Lie symmetries and exact solutions of the barotropic vorticity equation math-ph · 2009 · author #2
  29. Equivalence of diagonal contractions to generalized IW-contractions with integer exponents math-ph · 2008 · author #2
  30. Lowest dimensional example on non-universality of generalized In\"on\"u-Wigner contractions math-ph · 2008 · author #2
  31. Symmetry Analysis of Barotropic Potential Vorticity Equation math-ph · 2008 · author #2
  32. Singular reduction operators in two dimensions math.AP · 2008 · author #2
  33. Local conservation laws of second-order evolution equations math.AP · 2008 · author #1
  34. Symmetry justification of Lorenz' maximum simplification physics.flu-dyn · 2008 · author #2
  35. Potential Conservation Laws math-ph · 2008 · author #2
  36. Reduction Operators of Linear Second-Order Parabolic Equations math.AP · 2007 · author #1
  37. Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements math-ph · 2007 · author #3
  38. Conservation Laws and Potential Symmetries of Linear Parabolic Equations math-ph · 2007 · author #1
  39. Invariants of triangular Lie algebras with one nilindependent diagonal element math-ph · 2007 · author #3
  40. Admissible Transformations and Normalized Classes of Nonlinear Schroedinger Equations math-ph · 2006 · author #1
  41. Equivalence of conservation laws and equivalence of potential systems math-ph · 2006 · author #2
  42. Potential Nonclassical Symmetries and Solutions of Fast Diffusion Equation math-ph · 2005 · author #1
  43. Hierarchy of Conservation Laws of Diffusion--Convection Equations math-ph · 2004 · author #1
  44. Potential equivalence transformations for nonlinear diffusion-convection equations math-ph · 2004 · author #1
  45. Group classification of (1+1)-Dimensional Schr\"odinger Equations with Potentials and Power Nonlinearities math-ph · 2003 · author #1
  46. Lie Symmetries of (1+1)-Dimensional Cubic Schr\"odinger Equation with Potential math-ph · 2003 · author #1
  47. New results on group classification of nonlinear diffusion-convection equations math-ph · 2003 · author #1
  48. Realizations of Real Low-Dimensional Lie Algebras math-ph · 2003 · author #1
  49. Group classification of nonlinear Schr\"odinger equations math-ph · 2003 · author #2
  50. Equivalence of Q-Conditional Symmetries under Group of Local Transformation math-ph · 2002 · author #1
  51. A precise definition of reduction of partial differential equations math-ph · 2002 · author #3
  52. On Reduction and Q-conditional (Nonclassical) Symmetry math-ph · 2002 · author #1
  53. Symmetry reduction and exact solutions of the Navier-Stokes equations math-ph · 2002 · author #2
  54. Group Classification of Generalised Eikonal Equations math-ph · 2001 · author #1

Mentions

  • 1208.0232 #2 · backfill · confidence 0.70 Roman O. Popovych
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  • 0805.4061 #2 · backfill · confidence 0.70 Roman O. Popovych
  • 0803.1156 #2 · backfill · confidence 0.70 Roman O. Popovych
  • 0712.2764 #1 · backfill · confidence 0.70 Roman O. Popovych
  • 0706.2465 #3 · backfill · confidence 0.70 Roman O. Popovych
  • 0706.0443 #1 · backfill · confidence 0.70 Roman O. Popovych
  • 0705.2394 #3 · backfill · confidence 0.70 Roman O. Popovych

Frequent Coauthors