N. Sales Filho and I. L. Freire, Symmetries and currents of the quadratic Novikov equations, Discrete and Continuous Dynamical Systems-Series S, vol. 18, 942-956, 2025.
P. L. da Silva, I. L. Freire and N. Sales Filho, An integrable pseudospherical equation with pseudo-peakon solutions, Journal of Differential Equations, vol. 419, 291-323, 2025.
I. L. Freire, Local isometric immersions and breakdown of manifolds determined by Cauchy problems of the Degasperis-Procesi equation, Journal of Nonlinear Science, vol. 35, paper 3, 2025.
I. L. Freire, Breakdown of pseudospherical surfaces determined by the Camassa-Holm equation, Journal of Differential Equations, vol. 378, 339-359, 2024.
I. L. Freire, Persistence and asymptotic analysis of solutions of nonlinear wave equations, Journal of Evolution Equations, vol. 24, paper 6, 2024.
N. Duruk Mutlubas and I. L. Freire, Existence and uniqueness of periodic pseudospherical surfaces emanating from Cauchy problems, Proceedings of the Royal Society A- Mathematical, Physical and Engeering Sciences, vol. 480, paper 20230670, 2024.
I. L. Freire and C. E. Toffoli, Wave breaking and asymptotic analysis of solutions for a class of weakly dissipative nonlinear wave equations, Journal of Differential Equations, vol. 358, 457-483, 2023.
I. L. Freire, Unique continuation results for abstract quasi-linear evolution equations in Banach spaces, Dynamics of Partial Differential Equations, vol. 20, 179-195, 2023.
N. Duruk Mutlubas and I. L. Freire, The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation, Applicable Analysis, vol. 102, 3209-3222, 2023.
I. L. Freire, Remarks on strong global solutions of the b − equation, Applied Mathematics Letters, vol. 146, paper 108820, 2023.
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, vol. 320, 371-398, 2022.
I. L. Freire, Persistence properties of a Camassa-Holm type equation with (n+1)-order non-linearities, Journal of Mathematical Physics, vol. 63, paper 011505, 2022.
I. L. Freire, Geometrical demonstration for persistence properties of a bi-Hamiltonian shallow water system, Journal of Mathematical Physics, vol. 63, paper 041510, 2022.
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.
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.
P. L. da Silva and I. L. Freire, A geometrical demonstration for continuation of solutions of the generalised BBM equation, Monatshefte für Mathematik, vol. 194, 495–502, 2021.
I. L. Freire, A look on some results about Camassa–Holm type equations, Communications in Mathematics, vol. 29, 115 - 130, 2021.
I. L. Freire, Conserved quantities, continuation and compactly supported solutions of some shallow water models, Journal of Physics A: Mathematical and Theoretical, vol. 54, paper 015207, 2021.
A. Bortuli, 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.
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, vol. 145, 537-562, 2020.
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, Journal of Differential Equations, vol. 269, 56--77, 2020.
I. L. Freire, Wave breaking for shallow water models with time decaying solutions, Journal of Differential Equations, vol. 269, 3769--3793, 2020.
P. L. da Silva and I. L. Freire, Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation, Journal of Differential Equations, vol. 267, 5318-5369, 2019.
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, Nonlinear Analysis: Real, World and Applications, vol. 41, 269-287, 2018.
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, vol. 474, paper 20170763, 2018.
T. E. Mogrosi, I. L. Freire, B. Muatjetjeja and C. M. Khalique, Group analysis of a hyperbolic Lane–Emden system, Applied Mathematics and Computation, vol. 292, 156-164, 2017.
S. Dimas and I. L. Freire, Study of a fifth order PDE using symmetries, Applied Mathematics Letters, vol. 69, 121-125, 2017.
R. Tracinà, I. L. Freire and M. Torrisi, Nonlinear self-adjointness of a class of third order nonlinear dispersive equations, Communications in Nonlinear Science and Numerical Simulation, vol. 32, 225-233, 2016.
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, vol. 56, paper 091506, 2015.
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.
Y. Bozhkov, I. L. Freire and N. Ibragimov, Group analysis of the Novikov equation, Computational and Applied Mathematics, vol. 33, 193–202, 2014.
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.
I. L. Freire and M. Torrisi, Similarity solutions for systems arising from an \textit{Aedes aegypti} model, Communications in Nonlinear Science and Numerical Simulation, vol. 19, 872-879, 2014.
I. L. Freire, New classes of nonlinearly self-adjoint evolution equations of third- and fifth-order, Communications in Nonlinear Science and Numerical Simulation, vol. 18, 493-499, 2013.
I. L. Freire and M. Torrisi, Symmetry methods in mathematical modeling of \textit{Aedes aegypti} dispersal dynamics, Nonlinear Analysis: Real, World and Applications, vol. 14, 1300-1307, 2013.
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, vol. 46, paper 245206, 2013.
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, 2012.
Y. Bozhkov and I. L. Freire, Symmetry analysis of the bidimensional Lane–Emden systems, Journal of Mathematical Analysis and Applications, vol. 388, 1279-1284, 2012.
I. L. Freire, Self-adjoint sub-classes of third and fourth-order evolution equations, Applied Mathematics and Computation, vol. 217, 9467-9473, 2011.
I. L. Freire and A. C. Faleiros, Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian, Nonlinear Analysis,
vol. 74, 3478-3486, 2011.
I. L. Freire, Conservation laws for self-adjoint first-order evolution equations, Journal of Nonlinear Mathematical Physics, vol. 18, 279-290, 2011.
Y. Bozhkov and I. L. Freire, Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation, Journal of Differential Equations, vol. 249, 872-913, 2010.
Y. Bozhkov and I. L. Freire, Group classification of semilinear Kohn–Laplace equations, Nonlinear Analysis, vol. 68, 2552-2568, 2008.