Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Fábio Natali"'
Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation
Autor:
Gabriel E. Bittencourt Moraes, Handan Borluk, Guilherme de Loreno, Gulcin M. Muslu, Fábio Natali
Publikováno v:
Journal of Differential Equations. 341:263-291
In this paper, the existence and orbital stability of the periodic standing waves solutions for the nonlinear fractional Schrodinger (fNLS) equation with cubic nonlinearity is studied. The existence is determined by using a minimizing constrained pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8de718d05ccf13b823d95d9ca6f1ea07
https://doi.org/10.1016/j.jde.2022.09.015
https://doi.org/10.1016/j.jde.2022.09.015
Autor:
Sabrina Amaral, Fábio Natali
Publikováno v:
Nagoya Mathematical Journal. 247:471-493
The purpose of this paper is to present an extension of the results in [8]. We establish a more general proof for the moving kernel formula to prove the spectral stability of periodic traveling wave solutions for the regularized Benjamin–Bona–Mah
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77a4473844944a28b69bebdcc2ebc890
https://doi.org/10.1017/nmj.2021.9
https://doi.org/10.1017/nmj.2021.9
Publikováno v:
Studies in Applied Mathematics, 148(1)
We solve the open problem of spectral stability of smooth periodic waves in the Camassa–Holm equation. The key to obtaining this result is that the periodic waves of the Camassa–Holm equation can be characterized by an alternative Hamiltonian str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b91e1b95479122ef54f02d29c404f2e
https://doi.org/10.1111/sapm.12430
https://doi.org/10.1111/sapm.12430
Publikováno v:
Studies in Applied Mathematics. 148:62-98
The existence, uniqueness and stability of periodic traveling waves for the fractional Benjamin-Bona-Mahony equation is considered. In our approach, we give sufficient conditions to prove a uniqueness result for the single-lobe solution obtained by a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c3c36f6766d7fbb87027d0dd9b9e33f
https://doi.org/10.1111/sapm.12428
https://doi.org/10.1111/sapm.12428
Publikováno v:
Journal of Dynamics and Differential Equations. 34:1601-1640
Periodic waves in the modified Korteweg–de Vries (mKdV) equation are revisited in the setting of the fractional Laplacian. Two families of solutions in the local case are given by the sign-definite dnoidal and sign-indefinite cnoidal solutions. Bot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e50c120a09b3d97eee8bbb025c4a03a
https://doi.org/10.1007/s10884-021-10000-w
https://doi.org/10.1007/s10884-021-10000-w
Autor:
Dmitry E. Pelinovsky, Fábio Natali
Publikováno v:
Journal of Differential Equations. 268:7342-7363
It is well-known that peakons in the Camassa–Holm equation are H 1 -orbitally stable thanks to conserved quantities and properties of peakons as constrained energy minimizers. By using the method of characteristics, we prove that piecewise C 1 pert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b01a43ee1194a0cf07c384d31148ab0
https://doi.org/10.1016/j.jde.2019.11.059
https://doi.org/10.1016/j.jde.2019.11.059
Publikováno v:
Nonlinearity. 33:1956-1986
Periodic waves in the fractional Korteweg-de Vries equation have been previously characterized as constrained minimizers of energy subject to fixed momentum and mass. Here we characterize these periodic waves as constrained minimizers of the quadrati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81f305548e15ad951e31ce9cec15739e
https://doi.org/10.1088/1361-6544/ab6a79
https://doi.org/10.1088/1361-6544/ab6a79
Autor:
Giovana Alves, Fábio Natali
In this paper, we prove existence and orbital stability results of periodic standing waves for the cubic-quintic nonlinear Schr\"odinger equation. We use the implicit function theorem to construct a smooth curve of explicit periodic waves with \texti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c12bf815557f4b6109926f60eb8f72a1
http://arxiv.org/abs/2110.01978
http://arxiv.org/abs/2110.01978
Odd periodic waves and stability results for the defocusing mass‐critical Korteweg‐de Vries equation
Autor:
Sabrina Amaral, Fábio Natali
Publikováno v:
Mathematical Methods in the Applied Sciences. 43:3253-3259
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e869b69e53121778d8b0ccc125a25711
https://doi.org/10.1002/mma.6117
https://doi.org/10.1002/mma.6117
Publikováno v:
Applicable Analysis. 100:1660-1667
In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based on the Fourier expansion of the periodic wave in order to know the behaviour of the nonpos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a8925fe2451592125b1223c81bb4907
https://doi.org/10.1080/00036811.2019.1659955
https://doi.org/10.1080/00036811.2019.1659955