Curriculum Publicações Ensino Pesquisa Sobre

Lista de publicações

Artigos científicos

  1. P. L. da Silva, Analytic regularity of global solutions for the b-equation, Applied Mathematics Letters, v. 148, paper 108883, 2024.
    DOI: || Arquivo PDF
  2. P. L. da Silva, Local well-posedness and global analyticity for solutions of a generalized 0-equation, Proceedings of the Royal Society of Edinburgh, v. 153, 1630-1650, 2023.
    DOI: 10.1017/prm.2022.64 || Arquivo PDF
  3. M. Caso-Huerta, A. Degasperis, P. Leal da Silva, S. Lombardo and M. Sommacal, Periodic and Solitary Wave Solutions of the Long Wave-Short Wave Yajima-Oikawa-Newell Model, Fluids, v. 7, 1-15, 2022.
    DOI: 10.3390/fluids7070227 || Arquivo PDF
  4. P. L. da Silva and I. L. Freire, Existence, persistence, and continuation of solutions for a generalized 0-Holm-Staley equation, Journal of Differential Equations, v. 320, 371-398, 2022.
    DOI: 10.1016/j.jde.2022.02.058 || Arquivo PDF
  5. P. L. da Silva and I. L. Freire, A geometrical demonstration for continuation of solutions of the generalised BBM equation, Monatshefte für Mathematik, v. 194, 495-502, 2021.
    DOI: 10.1007/s00605-020-01453-0 || Arquivo PDF
  6. P. L. da Silva and I. L. Freire, Integrability, existence of global solutions and wave breaking criteria for a generalization of the Camassa-Holm equation, Studies in Applied Mathematics, v. 145, 537-562, 2020.
    DOI: 10.1111/sapm.12327 || Arquivo PDF
  7. P. L. da Silva and I. L. Freire, Well-posedness, traveling waves and geometrical aspects of some generalizations of the Camassa-Holm equation, Journal of Differential Equations, v. 267, 5318-5369, 2019.
    DOI: 10.1016/j.jde.2019.05.033 || Arquivo PDF
  8. G. Petronilho and P. Leal da Silva, On the radius of spatial analyticity for the modified Kawahara equation on the line, Math. Nachr., v. 292, 2032-2047, 2019.
    DOI: 10.1002/mana.201800394 || Arquivo PDF
  9. P. L. da Silva, Classification bounded travelling wave solutions for the Dullin-Gottwald-Holm equation, Journal of Mathematical Analysis and Applications, v. 471, 481-488, 2019.
    DOI: 10.1016/j.jmaa.2018.10.086 || Arquivo PDF
  10. P. L. da Silva, I. L. Freire and J. C. S. Sampaio, A family of wave equations with some remarkable properties, Proceedings of the Royal Society A:, v. 474, paper 20170763, 2018.
    DOI: 10.1098/rspa.2017.0763 || Arquivo PDF
  11. S. C. Anco, P. L. da Silva and I. L. Freire, A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations, Journal of Mathematical Physics, v. 56, paper 091506, 2015.
    DOI: 10.1063/1.4929661 || Arquivo PDF
  12. P. L da Silva and I. L. Freire, Symmetry analysis of a class of autonomous even order ordinary differential equations, IMA Journal of Applied Mathematics, v. 80, 1739-1758, 2015.
    DOI: 10.1093/imamat/hxv014 || Arquivo PDF
  13. I. L. Freire, P. L. Silva and M. Torrisi, Lie and Noether symmetries for a class of fourth-order Emden-Fowler equations, Journal of Physics A: Mathematical and Theoretical, v. 46, paper 245206, 2013.
    DOI: 10.1088/1751-8113/46/24/245206 || Arquivo PDF

Pre-prints

  1. P. L. da Silva, I. L. Freire and N. Sales Filho, Symmetries and pseudo-peakon solutions for a Novikov equation, 2023. (in preparation) [pdf]
  2. P. L. da Silva, Global analytic solutions and symmetric waves of the 0-equation, 2023. (submitted)
  3. P. L. da Silva, Global analytic solutions of a pseudopherical Novikov equation, 2023. (submitted)

Capítulos de livros

  1. P. L. da Silva and I. L. Freire, On the Group Analysis of a Modified Novikov Equation, Springer Proceedings in Mathematics & Statistics, v. 117, 161-166, 2015.
    DOI: 10.1007/978-3-319-12307-3_23 || Arquivo PDF

Anais de congressos

  1. I. L. Freire and P. L. da Silva, An equation unifying both Camassa-Holm and Novikov equations, Proceedings of the 10th AIMS International Conference, 304-311, 2015.
    DOI: doi:10.3934/proc.2015.0304 || Arquivo PDF
  2. P. L. da Silva and I. L. Freire, On certain shallow water models, scaling invariance and strict self-adjointness, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, v. 3(1), 2015.
    DOI: 10.5540/03.2015.003.01.0022 || Arquivo PDF
  3. P. L. da Silva e I. L. Freire, Comparações entre o Teorema de Noether e o Teorema de Ibragimov utilizando uma classe de equações diferenciais ordinárias, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, v. 3, 2015.
    DOI: 10.5540/03.2015.003.01.0020 || Arquivo PDF
  4. P. L. da Silva e I. L. Freire, Auto-adjunticidade não-linear e leis de conservação da equação de Korteweg-de Vries-Zakharov-Kuznetsov, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, v. 3, 2015.
    DOI: 10.5540/03.2015.003.01.0017 || Arquivo PDF
  5. P. L. da Silva e I. L. Freire, Uma nova equação unificando quatro modelos físicos, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, v. 3, 2015.
    DOI: 10.5540/03.2015.003.02.0015020015-1 || Arquivo PDF
  6. P. L. da Silva e I. L. Freire, Sobre uma classe de equações diferenciais ordinárias admitindo propriedades especiais, Anais do CMAC-SE, 2013.
    Arquivo PDF
  7. I. L. Freire, P. L. Silva and M. Torrisi, Some results on Lie symmetry analysis of a fourth-order Emden-Fowler equation, Anais do CMAC-NE, 2012.
    Arquivo PDF
  8. I. L. Freire e P. L. Silva, Simetrias de Lie e equações diferenciais ordinárias, Anais do CNMAC, 2012.
    Arquivo PDF
  9. I. L. Freire e P. L. Silva, Álgebras de Lie e aplicações, Anais do CMAC SE, 2011.
    Arquivo PDF
  10. I. L. Freire e P. L. Silva, Formas diferenciais e aplicações, Anais do CNMAC, v. 3, 2010.
    Arquivo PDF