Publicações

Lista de publicações com orientandos e supervisionados

Esta é uma relação parcial de artigos co-autorados com alunos de pós-graduação ou pós-doutores, e publicados em periódicos indexados, com peer review. Uma lista mais completa e detalhada, ver o currículo Lattes.

1. I. L. Freire and C. E. Toffoli, Wave breaking and asymptotic analysis of solutions for a class of weakly dissipative nonlinear wave equations, J. Diff. Equ., vol. 358, 457-483, 2023. 

2. N. Sales Filho and I. L. Freire, Structural and qualitative properties of a geometrically integrable equation, Communications in Nonlinear Science and Numerical Simulation, vol. 114, 106668, 2022. 

3. I. L. Freire and R. S. Tito, A Novikov equation describing pseudo-spherical surfaces, its pseudo-potentials, and local isometric immersions, Studies in Applied Mathematics, vol. 148, 758-772, 2022. 

4. A. Bortuli Jr., I. L. Freire and N. A. Maidana, Group classification and analytical solutions of a radially symmetric avascular cancer model,  Studies in Applied Mathematics, vol.  147, 978-1006, 2021. 

5. I. L. Freire, N. Sales Filho, L. C. de Souza and C. E. Toffoli, Invariants and wave breaking analysis of a Camassa-Holm type equation with quadratic and cubic non-linearities, J. Diff. Equ., vol. 269, 56-77, 2020.

6. P. L. da Silva, I. L. Freire and J. C. S. Sampaio, A family of wave equations with some remarkable properties, Proc. Royal Soc. A, vol. 474, paper 20170763, 2018. 

7. F. Bacani, S. Dimas, I. L. Freire, N. A. Maidana and M. Torrisi, Mathematical modelling for the transmission of dengue: Symmetry and travelling wave analysis, Nonlin. Anal. RWA, vol.  41, 269-287, 2018. 

8. S. Dimas and I. L. Freire, Study of a fifth order PDE using symmetries, Applied Mathematics Letters, vol. 69, 121-125, 2017. 

9. 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, vol. 80, 1739-1758, 2015. 

10. S 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, vol. 56, paper 091506, 2015. 

11. I. L. Freire and J. C. S. Sampaio, On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models, Communications in Nonlinear Science and Numerical Simulation, vol. 19, 350-360, 2014. 

12. J. C. S. Sampaio and I. L. Freire, Nonlinear self-adjoint classification of a Burgers-KdV family of equations, Abstract and Applied Analysis, vol. 2014, 7 pages, 2014.

13. I. L. Freire, P. L. da Silva and M. Torrisi, Lie and Noether symmetries for a class of fourth-order Emden-Fowler equations, Journal of Physics. A, Mathematical and Theoretical, vol. 46, paper 245206, 2013. 

14. I. L. Freire and J. C. S. Sampaio, Nonlinear self-adjointness of a generalized fifth-order KdV equation, Journal of Physics. A, Mathematical and Theoretical, vol. 45, paper 032001-7pp, 2012.