Fabio Matheus Amorin Natali - McMaster Experts

Affiliations

Faculty of Science, McMaster University
Mathematics and Statistics (Internal), Faculty of Science
Visiting Associate Professor, Mathematics and Statistics, Faculty of Science

Scholarly Activity in McMaster Experts

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chapters
- Orbital Stability of Periodic Traveling Wave Solutions. 45-70. 2011
journal articles
- Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation. Communications in Nonlinear Science and Numerical Simulation. 133:107953-107953. 2024
- Monotonicity of the period map for the equation $$-\varphi ''+\varphi -\varphi ^{k}=0$$. Monatshefte für Mathematik. 204:1-14. 2024
- Spectral stability of multiple periodic waves for the Schrödinger system with cubic nonlinearity. Dynamics of Partial Differential Equations. 21:171-195. 2024
- Spectral stability of periodic traveling wave solutions for a double dispersion equation. Applicable Analysis. 103:1-18. 2024
- Transversal spectral instability of periodic traveling waves for the generalized Zakharov–Kuznetsov equation. Comptes Rendus Mathematique. 362:607-617. 2024
- Odd periodic waves for some Klein–Gordon type equations: Existence and stability. Mathematical Methods in the Applied Sciences. 46:14131-14144. 2023
- Orbital stability of periodic traveling waves for the "abcd'' Boussinesq systems. Communications on Pure and Applied Analysis. 22:922-945. 2023
- Periodic waves for the cubic-quintic nonlinear Schrodinger equation: Existence and orbital stability. Discrete and Continuous Dynamical Systems - Series B. 28:854-854. 2023
- Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation. Journal of Differential Equations. 341:263-291. 2022
- ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED. Nagoya Mathematical Journal. 247:471-493. 2022
- Correction to: Periodic Waves in the Fractional Modified Korteweg–de Vries Equation. Journal of Dynamics and Differential Equations. 34:1641-1642. 2022
- Periodic Waves in the Fractional Modified Korteweg–de Vries Equation. Journal of Dynamics and Differential Equations. 34:1601-1640. 2022
- On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation. Nonlinearity. 35:1152-1169. 2022
- On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation. Studies in Applied Mathematics. 148:62-98. 2022
- Stability of smooth periodic travelling waves in the Camassa–Holm equation. Studies in Applied Mathematics. 148:27-61. 2022
- Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation. Journal of Mathematical Analysis and Applications. 500:125098-125098. 2021
- On the stability of periodic traveling waves for the modified Kawahara equation. Applicable Analysis. 100:1660-1667. 2021
- On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations. Partial Differential Equations and Applications. 2. 2021
- A comment about the paper “On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation”. Journal of Differential Equations. 269:4598-4608. 2020
- Instability of H1-stable peakons in the Camassa–Holm equation. Journal of Differential Equations. 268:7342-7363. 2020
- New variational characterization of periodic waves in the fractional Korteweg–de Vries equation. Nonlinearity. 33:1956-1986. 2020
- Odd periodic waves and stability results for the defocusing mass‐critical Korteweg‐de Vries equation. Mathematical Methods in the Applied Sciences. 43:3253-3259. 2020
- Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation. Journal of Mathematical Analysis and Applications. 484:123723-123723. 2020
- Periodic traveling-wave solutions for regularized dispersive equations: sufficient conditions for orbital stability with applications. Communications in Mathematical Sciences. 18:613-634. 2020
- Orbital stability of periodic traveling-wave solutions for a dispersive equation. Sao Paulo Journal of Mathematical Sciences. 13:447-464. 2019
- Sufficient conditions for orbital stability of periodic traveling waves. Journal of Differential Equations. 267:879-901. 2019
- Sufficient conditions for orbital stability of periodic traveling waves. Journal of Differential Equations. 267:879-901. 2019
- Well-Posedness and Orbital Stability of Periodic Traveling Waves for Schamel's Equation. Zeitschrift für Analysis und ihre Anwendung. 37:221-250. 2018
- Orbital stability of periodic traveling-wave solutions for the log-KdV equation. Journal of Differential Equations. 263:2630-2660. 2017
- Stability properties of periodic traveling waves for the intermediate long wave equation. Revista matemática iberoamericana. 33:417-448. 2017
- Orbital stability of periodic traveling wave solutions for the Kawahara equation. Journal of Mathematical Physics. 58. 2017
- On the instability of periodic waves for dispersive equations. Differential and Integral Equations. 29. 2016
- Exponential decay for a locally damped fifth-order equation posed on the line. Nonlinear Analysis: Real World Applications. 30:59-72. 2016
- A NOTE ON THE EXPONENTIAL DECAY FOR THE NONLINEAR SCHRODINGER EQUATION. Osaka Journal of Mathematics. 53:717-729. 2016
- ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS. Differential and Integral Equations. 29:837-874. 2016
- Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system. Zeitschrift für Angewandte Mathematik und Physik. 66:1341-1354. 2015
- Exponential Stabilization for the Nonlinear Schrödinger Equation with Localized Damping. Journal of Dynamical and Control Systems. 21:461-474. 2015
- The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave. SIAM Journal on Applied Dynamical Systems. 14:1326-1347. 2015
- Orbital stability of periodic waves. IMA Journal of Applied Mathematics. 79:1161-1179. 2014
- (Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations. Advances in Nonlinear Analysis. 3:95-123. 2014
- An example of non-decreasing solution for the KdV equation posed on a bounded interval. Comptes Rendus Mathematique. 352:421-424. 2014
- Stability properties of periodic waves for the Klein–Gordon equation with quintic nonlinearity. Applied Mathematics and Computation. 224:581-592. 2013
- Decay of Solutions to Damped Korteweg–de Vries Type Equation. Applied Mathematics and Optimization. 65:221-251. 2012
- On periodic waves for sine- and sinh-Gordon equations. Journal of Mathematical Analysis and Applications. 379:334-350. 2011
- Orbital stability of periodic waves for the Klein-Gordon-Schrödinger system. Discrete and Continuous Dynamical Systems. Series A. 31:221-238. 2011
- Unstable snoidal waves. Journal of the London Mathematical Society. 82:810-830. 2010
- WITHDRAWN: Nonlinear stability of solitary travelling wave solutions for the Kawahara–KdV and modified Kawahara–KdV equations. Nonlinear Analysis, Theory, Methods and Applications. 2010
- Qualitative aspects for the cubic nonlinear Schrödinger equations with localized damping: Exponential and polynomial stabilization. Journal of Differential Equations. 248:2955-2971. 2010
- A note on the stability for Kawahara–KdV type equations. Applied Mathematics Letters. 23:591-596. 2010
- Stability properties of periodic standing waves for the Klein-Gordon-Schrödinger system. Communications on Pure and Applied Analysis. 9:413-430. 2010
- EXPONENTIAL STABILITY FOR THE 2-D DEFOCUSING SCHRODINGER EQUATION WITH LOCALLY DISTRIBUTED DAMPING. Differential and Integral Equations. 22:617-636. 2009
- Stability and instability of periodic travelling wave solutions for the critical Korteweg–de Vries and nonlinear Schrödinger equations. Physica D : Non-linear phenomena. 238:603-621. 2009
- Stability and instability of periodic standing wave solutions for some Klein–Gordon equations. Journal of Mathematical Analysis and Applications. 347:428-441. 2008
- Positivity Properties of the Fourier Transform and the Stability of Periodic Travelling-Wave Solutions. SIAM Journal on Mathematical Analysis. 40:1123-1151. 2008
preprints