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A comment about the paper “On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation”

Journal of Differential Equations, 2020-08, Vol.269 (5), p.4598-4608

2020

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Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation

Journal of mathematical analysis and applications, 2020-04, Vol.484 (2), p.123723, Article 123723

2020

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Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation

Communications in nonlinear science & numerical simulation, 2024-06, Vol.133, p.107953, Article 107953

2024

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Sufficient conditions for orbital stability of periodic traveling waves

Journal of Differential Equations, 2019-07, Vol.267 (2), p.879-901

2019

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Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation

Journal of mathematical analysis and applications, 2021-08, Vol.500 (1), p.125098, Article 125098

2021

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Monotonicity of the period map for the equation -φ′′+φ-φk=0

Monatshefte für Mathematik, 2024, Vol.204 (1), p.1-14

2024

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ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED

Nagoya mathematical journal, 2022-09, Vol.247, p.471-493

2022

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Periodic Waves in the Fractional Modified Korteweg–de Vries Equation

Journal of dynamics and differential equations, 2022-06, Vol.34 (2), p.1601-1640

2022

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Odd periodic waves for some Klein–Gordon type equations: Existence and stability

Mathematical methods in the applied sciences, 2023-09, Vol.46 (13), p.14131-14144

2023

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The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave

SIAM journal on applied dynamical systems, 2015-01, Vol.14 (3), p.1326-1347

2015

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Orbital stability of periodic traveling-wave solutions for a dispersive equation

São Paulo Journal of Mathematical Sciences, 2019-12, Vol.13 (2), p.447-464

Natali, Fábio

2019

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New variational characterization of periodic waves in the fractional Korteweg–de Vries equation

Nonlinearity, 2020-04, Vol.33 (4), p.1956-1986

2020

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Spectral stability of periodic traveling wave solutions for a double dispersion equation

Applicable analysis, 2024-04, p.1-18

2024

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Odd periodic waves and stability results for the defocusing mass‐critical Korteweg‐de Vries equation

Mathematical methods in the applied sciences, 2020-04, Vol.43 (6), p.3253-3259

2020

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Orbital stability of periodic traveling-wave solutions for the log-KdV equation

Journal of Differential Equations, 2017-09, Vol.263 (5), p.2630-2660

2017

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Exponential Stabilization for the Nonlinear Schrödinger Equation with Localized Damping

Journal of dynamical and control systems, 2015-07, Vol.21 (3), p.461-474

Natali, Fábio

2015

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Stability of smooth periodic travelling waves in the Camassa–Holm equation

Studies in applied mathematics (Cambridge), 2022-01, Vol.148 (1), p.27-61

2022

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On periodic waves for sine- and sinh-Gordon equations

Journal of mathematical analysis and applications, 2011-07, Vol.379 (1), p.334-350

Natali, Fábio

2011

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On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation

Nonlinearity, 2022-03, Vol.35 (3), p.1152-1169

2022

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A note on the stability for Kawahara–KdV type equations

Applied mathematics letters, 2010-05, Vol.23 (5), p.591-596

Natali, Fábio

2010

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On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation

Studies in applied mathematics (Cambridge), 2022-01, Vol.148 (1), p.62-98

2022

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POSITIVITY PROPERTIES OF THE FOURIER TRANSFORM AND THE STABILITY OF PERIODIC TRAVELLING-WAVE SOLUTIONS

SIAM journal on mathematical analysis, 2008-01, Vol.40 (3), p.1123-1151

2008

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On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations

SN partial differential equations and applications, 2021-06, Vol.2 (3), Article 37

2021

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Periodic traveling-wave solutions for regularized dispersive equations: sufficient conditions for orbital stability with applications

Communications in mathematical sciences, 2020, Vol.18 (3), p.613-634

2020

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Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system

Zeitschrift für angewandte Mathematik und Physik, 2015-08, Vol.66 (4), p.1341-1354

2015

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A comment about the paper “On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation”

Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation

Stability of periodic waves for the defocusing fractional cubic nonlinear Schrödinger equation

Sufficient conditions for orbital stability of periodic traveling waves

Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation

Monotonicity of the period map for the equation -φ′′+φ-φk=0

ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED

Periodic Waves in the Fractional Modified Korteweg–de Vries Equation

Odd periodic waves for some Klein–Gordon type equations: Existence and stability

The Fourth-Order Dispersive Nonlinear Schrödinger Equation: Orbital Stability of a Standing Wave

Orbital stability of periodic traveling-wave solutions for a dispersive equation

New variational characterization of periodic waves in the fractional Korteweg–de Vries equation

Spectral stability of periodic traveling wave solutions for a double dispersion equation

Odd periodic waves and stability results for the defocusing mass‐critical Korteweg‐de Vries equation

Orbital stability of periodic traveling-wave solutions for the log-KdV equation

Exponential Stabilization for the Nonlinear Schrödinger Equation with Localized Damping

Stability of smooth periodic travelling waves in the Camassa–Holm equation

On periodic waves for sine- and sinh-Gordon equations

On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation

A note on the stability for Kawahara–KdV type equations

On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation

POSITIVITY PROPERTIES OF THE FOURIER TRANSFORM AND THE STABILITY OF PERIODIC TRAVELLING-WAVE SOLUTIONS

On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations

Periodic traveling-wave solutions for regularized dispersive equations: sufficient conditions for orbital stability with applications

Orbital instability of standing waves for the quadratic–cubic Klein-Gordon–Schrödinger system

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