List of publications

Dr. Pilar G. Estévez

Nonlinear Physics Group

Universidad de Salamanca

 
 


    



 

Journals

  1. Non-isospectral 1+1 hierarchies arising from a Camassa-Holm Hierarchy in 2+1 dimensions 
    P. G. Estévez, J.D. Lejarreta and C. Sardón
    Journal of Nonlinear Math. Physics,     18, 9-28 (2011)
  2. Generalized Qiao hierarchy in 2+1 dimensions: reciprocal transformations,
    spectral problem and non-isospectrality
    P. G. Estévez.
    Phys Lett A. 375, 537-540, (2011)
  3. Classical Lie symmetries and reductions of a nonisospectral Lax pair
    P. G. Estévez, M L Gandarias and J. Lucas
    Journal of Nonlinear Math. Physics, 18, uppl. 1, S5-60 (2011)
  4. Solutions of a class of Duffing oscillators with variable coefficients                                                            P. G. Estévez, J. Negro, L. M. Nieto and S. Kuru.
    International Journal of Theoretical Physics, 50, 2046-2056 (2011)
  5. 1+1 spectral problems arising from the Manakov-Santini system
     P. G. Estévez, M. L. Gandarias, M.S. Bruzón and J. Prada.
    Jour. Phys. A: Math. Theor.    , 43 , 495204( 12p), (2010)
  6. Reciprocal transformations for a spectral problem in 2+1
    P. G. Estévez
    Theor. and Math. Phys.  159, 762-768, (2009) PDF
  7. Travelling wave solutions of the Benjamin-Bona-Mahoney equation
    P. G. Estévez, J Negro, L. M. Nieto and S. Kuru.
     Chaos, solitons and fractals,  40, 2031-2040, (2009)
  8. Dynamics of Lump solutions in a 2+1 NLS equation
    J. Villarroel, J. Prada, P. G. Estévez
    Studies in Applied Mathematics, 122, 395-410 (2009) PDF
  9. Factorization of a class of almost linear second order differential equations
    P. G. Estévez, J Negro, L M Nieto and S. Kuru.
    Journal of Physics A: Math. and Gen, 40 9819-9824 (2007) PDF
  10. On an algorithmic construction of lump solutions in a 2+1 integrable equation
    P. G. Estévez, J. Prada and J. Villarroel.
    Journal of Physics A: Math. and Gen., 40, (2007), 7213-7231, PDF
  11. Algorithmic construction of lump
    P. G. Estévez and J. Prada.
    Theor. and Math. Phys., 151, (2007), 754-762, PDF
  12. Travelling wave solutions of two-dimensional KdVB and KP equations
    PG Estévez, S Kuru, J Negro and LM Nieto
    Journal of Physics A: Math and Gen.39, 11441-11452, (2006). PDF
  13. Solutions of  a Camassa-Holm hierarchy in 2+1 dimensions
    P. G. Estévez  and J. Prada.
    Theoretical and Math. Phys., 144, 1132-1137, (2005).  PDF
  14. Hodograph Transformations for a Camassa-Holm hierarchy in 2+1 dimensions
    P. G. Estévez  and J. Prada.
    J. Phys. A: Math and Gen, 38, 1-11, (2005).  PDF
  15. Singular Manifold Method for an equation in 2+1 dimensions
    P. G. Estévez  and J. Prada.
    Journal of Nonlinear Math Phys, 12, 266-279, (2005).  PDF
  16. Symmetry reductions of a  2+1 Lax pair
    P. G. Estévez, M. L. Gandarias  and J. Prada.
    Phys. Lett A, 343, 40-47, (2005).  PDF
  17. On nonlinear diffussion equations with x-dependent convection and absortion
    C. Z. Qu and P. G. Estévez
    Nonlinear analysis-theory methods and aplications. 57, 549-577, (2004).
  18. A generalization of the sine-Gordon equation to 2+1 dimensions
     P. G. Estévez and J. Prada
    Journal of nonlinear math. phys. 11, 164-179, (2004). PDF
  19. Extended rotation and scaling groups for nonlinear evolution equation
    P. G. Estévez and Changzheng Qu
    Nonlinear Anal-Theor. 52, 1655-1673 (2003).
  20. Extended rotation and scaling groups for nonlinear evolution equation
    P. G. Estévez and Changzheng Qu
    Theoretical and Mathematical Physics,  137, 1419-1429, (2003).
  21. Separation of variables of a nonlinear wave equation with a variable wave speed.                                 P. G. Estévez and Changzheng Qu,
    Theoretical and Mathematical Physics,  133, 1488-1495, (2002)
  22. Separation of variables of a generalized porous medium equation with nonlinear source.                   P. G. Estévez, Changzheng Qu and Shunli Zhang.
    Journal of Mathematical Analysis and Applications, 275, 44-59, (2002)
  23. A non-isospectral problem derived from KP                                                                                        P.G. Estévez
    Inverse Problems 17, 1043-1053 ,(2001).
  24. Painlevé Analysis and Singular Manifold Method fort a 2+1 Dimensional Nonlinear Schrödinger equation.   P.G. Estévez and G.A.  Hernaéz ,
    Journal of Nonlinear Mathematical Physics 8 ,106-111. (2001)
  25. Nonisospectral problem in 2+1                                                                                                              P.G. Estévez and G.A. Hernáez,
    Journal of Physics A: Math and General 33, 2131-2143 (2000).
  26. Darboux transformation and solutions for an equation in 2+1 dimensions                                                P.G. Estévez
     Journal of Mathematical Physics 40, 1406-1419 (1999).
  27. Unified Approach for Miura, Backlünd and Darboux Transformations for Nonlinear Partial Differential Equations                                                                                                                            P.G. Estévez, E. Conde, and P.R. Gordoa,
    Journal of Nonlinear Mathematical Physics 5, 82-114 (1998).
  28. Miura Transformation between two Nonlinear Equations in (2+1)-Dimensions                                       Jose M. Cerveró and P.G. Estévez,
    Journal of Mathematical Physics 39, 2800-2807 (1998).
  29. Non Classical Symmetries and the Singular Manifold Method: A further two examples                        P.G. Estévez and P.R. Gordoa,
    Journal of Physics A31, 7511-7519 (1998).
  30. Darboux Transformations via Painlevé Analysis                                                                                       P. G. Estévez and P. R. Gordoa,
    Inverse Problems 13, 939-957 (1997).
  31. Non Classical Symmetries and the Singular Manifold Method. Theory and Six Examples                    P. G. Estévez and P. R. Gordoa,
    Studies in Applied Mathematics 95, 73-113 (1995).
  32. A KdV Equation in 2+1 Dimensions: Painlevé Analysis, Solutions and Similarity Reductions               P.G. Estévez and S. B. Leble,
    Acta Applicandae Mathematicae 39, 277-294 (1995).
  33. A Wave Equation in 2+1: Painlevé Analysis and Solutions                                                                        P.G. Estévez and S. B. Leble,
    Inverse Problems 11, 925-937 (1995).
  34. The Singular Manifold Method: Darboux Transformations and Nonclassical Symmetries                    P. G. Estévez and P. R. Gordoa,
    Journal of Nonlinear Mathematical Physics 2, 334-355 (1995)
  35. Non Classical Symmetries and the Singular Manifold Method: the Burgers and Burgers-Huxley Equations                                                                                                                                                      P.G. Estévez,
    J. Phys. A: Math & Gen. 27, 2113-2127 (1994).
  36. Non Classical Symmetries and the Singular Manifold Method: The Burgers Equation                          P. G. Estévez and P. R. Gordoa,
    Theoret. and Math. Phys. 99, 250-256 (1994).
  37. On the Characterization of a New Soliton Sector in the Classical Boussinesq System,                           P. G. Estévez. P. R. Gordoa, L. Martínez-Alonso and E. Medina-Reus,
    Inverse Problems 10, L23-L27 (1994).
  38. Double Singular Manifold Method for MKdV Equation                                                                           P. R. Gordoa and P.G. Estévez
    Theoret. and Math. Phys. 99, 370-376 (1994).
  39. Modified Singular Manifold Expansion: Application to the Boussinesq and Mikhailov-Shabat Systems                                                                                                                                                     P. G. Estévez, P. R. Gordoa, L. Martínez Alonso and E. Medina Reus,
    J. Phys. A: Math & Gen. 26, 1915-1925 (1993).
  40. The Anharmonic Oscillator with Variable Damping                                                                                  José M. Cerveró, P. G. Estévez and P. R. Gordoa,
    Journal of Sound and Vibration 167, 203-208 (1993).
  41. The Direct Method and the Singular Manifold Method for the Fitzhugh-Nagumo equation                   P. G. Estévez,
    Physics Letters A171, 259-261 (1992).
  42. The Generalized Damped cubic equation: Integrability and general solution.                                         José M. Cerveró, P. G. Estévez and P. R. Gordoa,
    J. Phys. A: Math & Gen.  24, 1153-1155 (1991).
  43. Painleve analysis of the generalized Burgers-Huxley equation                                                                 P. G. Estévez and P. R. Gordoa,
    J. Phys. A: Math & Gen.  23, 4831-4838 (1990).
  44. Kinks under constant forces.                                                                                                                       P. G. Estévez,
    J. Phys. A: Math & Gen.  24, 1153-1155 (1989).
  45. Exact two-dimensional Q-balls near the kink phase                                                                                   José M. Cerveró, and P. G. Estévez ,
    Physics Letters  B176, 139-142, (1986).
  46. General Elliptic solution for the cubic equation with damping                                                                   José M. Cerveró, and P. G. Estévez ,
    Annals of Physics NY  171, 17-27 (1986).
  47. General solution for a cosmological Robertson-Walker metric in the Brans-Dicke theory                                                                                                                                                     José M. Cerveró, and P. G. Estévez ,
    Gen. Rel and Grav   15, 351-356, (1983).
  48. Induced gravity and cosmology                                                                                                                    José M. Cerveró, and P. G. Estévez ,
    Annals of Physics NY  142, 64-79 (1982).
  49. The cosmological constant and the gauge covariant theory of gravitation                                             José M. Cerveró, and P. G. Estévez ,
    Nuovo Cimento   67B, 202-212, (1982).
  50. Spontaneous breakdown of the vacuum and the  gauge covariant theory of gravitation                    José M. Cerveró, and P. G. Estévez ,
    Lett. Nuov. Cim.   30, 323-326 (1981).

 

 

 

     


Proceedings

  • Darboux transformations for a Bogoyavlenskii equation in (2+1) dimensions

      P.G. Estévez and G.A. Hernáez,
       Proceedings of the international workshop " Nonlinearity and integrability and all that: Twenty years after NEEDS 79"
      M. Boiti, L. Martina, F. Pempinelli, B. Prinari and G. Soliani eds.
      page 117-123. World scientific publishing Co. (2000).

       

  • Discrete equations and the singular manifold method

      P.G. Estévez and P A Clarkson
      Proceedings of the international workshop "Symmetries and integrability of difference equations" , Sabaudia (Italy)
      Centre de recherches mathematiques. Universite de Montreal.
      CMR Proceedings and lecture notes  25 , 139-146 (2000).

       

  • Generalized Singular Manifold Method for an Equation in 2+1 Dimensions

      P.G. Estévez and P.R. Gordoa,
      Proceedings of the International Workshop Modern Group Analysys VI: Developments in Theory, Computation
      and Applications: MOGRAN VI, Johannesburg, South Africa, 15-20 January, 1996, (N.H. Ibragimov and F.M.
      Malomed, Eds.), New Age Intl. Publishers, 1998, pp. 327-337.

       

  • Darboux Transformations: An Algorithmic Procedure

      P. G. Estévez, E. Conde and P.R. Gordoa,
      Proceedings of the 11th Workshop "Nonlinear Equations and Dynamical Systems" Electronic Proceedings.
      O. Ragnisco Managing Editor. 1997.

       

  • Generalized Singular Manifold Method for a Dispersive Long Wave Equation in 2+1 dimensions

      P.R. Gordoa and P.G. Estévez,
      Proceedings of the International Workshop "Nonlinear Klein-Gordon and Schrödinger Systems: Theory and
      Applications" (L. Vázquez, L. Streit and V. M. Pérez-García Editors) 303-307, World Scientific Publishing Co.
      1996.

       

  • Soliton Dynamics with Inelastic Scattering in the Classical Boussinesq System

      P. G. Estévez, P.R. Gordoa, L. Martínez-Alonso and E. Medina Reus,
      "Fluid Physics. Lecture Notes of Summer Schools". (M. G. Velarde and C. I. Christov Editors), World Scientific
      Series in Nonlinear Science. B5 Pags 379-402 World Scientific Publ. 1995.

       

  • The mKP Equation and the Double Singular Manifold

      P.R. Gordoa and P.G. Estévez,
      Proceedings of the International Workshop "Fluctuation Phenomena: Disorder and Nonlinearity". (A.R. Bishop,
      S. Jiménez and L. Vázquez, Editors), Page 25 World Scientific Publishing Co. 1995.

       

  • Generalized Solutions of the perturbed KdV Equation for Convecting Fluids

      P. G. Estévez and P. R. Gordoa,
      KLUWER Proceedings NATO. Serie C. 413, 287-288 (1993).

       

  • Modified Singular Manifold Expansion: Application to the Boussinesq and Mikhailov-Shabat Systems

      P. G. Estévez. P. R. Gordoa, L. Martínez-Alonso and E. Medina-Reus,
      KLUWER Proceedings NATO. Serie C. 413, 289-298 (1993).

       

  • Painleve test and solutions for the general anharmonic oscillator with variable damping

      P. G. Estévez. P. R. Gordoa,
      Proceedings of NEEDS'91 (M. Boiti, L. Martina and F. Pempinelli editors)
      Pages 297-302 World Scientific Publishing Co. 1992.

       

  • Painleve analysis of the generalized Burgers-Huxley equation and the driven and damped Sine-Gordon equation

      P. G. Estévez. P. R. Gordoa,
      Proceedings of NEEDS'91 (M. Boiti, L. Martina and F. Pempinelli editors)
      Pages 279-287 World Scientific Publishing Co. 1992.

       

  • Partial integrability of the damped kink equation

      José M. Cerveró, and P. G. Estévez ,
      Proceedings of  the NATO_ASI "Partially integrable evolution equations in physics"
      (R. Conte and N. Boccara editors)
      KLUWER Acad. Publi., 573-574 (1990).


 


Books

  • La Invariancia Conforme en Gravitacion y Cosmologia

      P. G. Estévez ,
      Ediciones Universidad de Salamanca, Salamanca 1983


 
 
 

 

 
 
 
 


 

Nonlinear Physics Group