
Previous Article
Approximating the basin of attraction of timeperiodic ODEs by meshless collocation
 DCDS Home
 This Issue

Next Article
Resonance and nonresonance for pLaplacian problems with weighted eigenvalues conditions
Existence and stability of high frequency standing waves for a nonlinear Schrödinger equation
1.  IACSFSB, Section de Mathématiques, École Polytechnique Fédérale de Lausanne CH1015 Lausanne, Switzerland 
[1] 
Junichi Segata. Initial value problem for the fourth order nonlinear Schrödinger type equation on torus and orbital stability of standing waves. Communications on Pure & Applied Analysis, 2015, 14 (3) : 843859. doi: 10.3934/cpaa.2015.14.843 
[2] 
Hiroaki Kikuchi. Remarks on the orbital instability of standing waves for the waveSchrödinger system in higher dimensions. Communications on Pure & Applied Analysis, 2010, 9 (2) : 351364. doi: 10.3934/cpaa.2010.9.351 
[3] 
Fábio Natali, Ademir Pastor. Orbital stability of periodic waves for the KleinGordonSchrödinger system. Discrete & Continuous Dynamical Systems, 2011, 31 (1) : 221238. doi: 10.3934/dcds.2011.31.221 
[4] 
Sevdzhan Hakkaev. Orbital stability of solitary waves of the SchrödingerBoussinesq equation. Communications on Pure & Applied Analysis, 2007, 6 (4) : 10431050. doi: 10.3934/cpaa.2007.6.1043 
[5] 
Aslihan Demirkaya, Panayotis G. Kevrekidis, Milena Stanislavova, Atanas Stefanov. Spectral stability analysis for standing waves of a perturbed KleinGordon equation. Conference Publications, 2015, 2015 (special) : 359368. doi: 10.3934/proc.2015.0359 
[6] 
François Genoud, Charles A. Stuart. Schrödinger equations with a spatially decaying nonlinearity: Existence and stability of standing waves. Discrete & Continuous Dynamical Systems, 2008, 21 (1) : 137186. doi: 10.3934/dcds.2008.21.137 
[7] 
Marco Ghimenti, Stefan Le Coz, Marco Squassina. On the stability of standing waves of KleinGordon equations in a semiclassical regime. Discrete & Continuous Dynamical Systems, 2013, 33 (6) : 23892401. doi: 10.3934/dcds.2013.33.2389 
[8] 
Reika Fukuizumi. Stability and instability of standing waves for the nonlinear Schrödinger equation with harmonic potential. Discrete & Continuous Dynamical Systems, 2001, 7 (3) : 525544. doi: 10.3934/dcds.2001.7.525 
[9] 
Salvador CruzGarcía, Catherine GarcíaReimbert. On the spectral stability of standing waves of the onedimensional $M^5$model. Discrete & Continuous Dynamical Systems  B, 2016, 21 (4) : 10791099. doi: 10.3934/dcdsb.2016.21.1079 
[10] 
Andrew Comech, Elena Kopylova. Orbital stability and spectral properties of solitary waves of Klein–Gordon equation with concentrated nonlinearity. Communications on Pure & Applied Analysis, 2021, 20 (6) : 21872209. doi: 10.3934/cpaa.2021063 
[11] 
Fábio Natali, Ademir Pastor. Stability properties of periodic standing waves for the KleinGordonSchrödinger system. Communications on Pure & Applied Analysis, 2010, 9 (2) : 413430. doi: 10.3934/cpaa.2010.9.413 
[12] 
Alex H. Ardila. Stability of standing waves for a nonlinear SchrÖdinger equation under an external magnetic field. Communications on Pure & Applied Analysis, 2018, 17 (1) : 163175. doi: 10.3934/cpaa.2018010 
[13] 
Reika Fukuizumi, Louis Jeanjean. Stability of standing waves for a nonlinear Schrödinger equation wdelta potentialith a repulsive Dirac. Discrete & Continuous Dynamical Systems, 2008, 21 (1) : 121136. doi: 10.3934/dcds.2008.21.121 
[14] 
Riccardo Adami, Diego Noja, Cecilia Ortoleva. Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: Neutral modes. Discrete & Continuous Dynamical Systems, 2016, 36 (11) : 58375879. doi: 10.3934/dcds.2016057 
[15] 
Aslihan Demirkaya, Milena Stanislavova. Numerical results on existence and stability of standing and traveling waves for the fourth order beam equation. Discrete & Continuous Dynamical Systems  B, 2019, 24 (1) : 197209. doi: 10.3934/dcdsb.2018097 
[16] 
Michael Herrmann. Homoclinic standing waves in focusing DNLS equations. Discrete & Continuous Dynamical Systems, 2011, 31 (3) : 737752. doi: 10.3934/dcds.2011.31.737 
[17] 
Michiel Bertsch, Hirofumi Izuhara, Masayasu Mimura, Tohru Wakasa. Standing and travelling waves in a parabolichyperbolic system. Discrete & Continuous Dynamical Systems, 2019, 39 (10) : 56035635. doi: 10.3934/dcds.2019246 
[18] 
José Manuel Palacios. Orbital and asymptotic stability of a train of peakons for the Novikov equation. Discrete & Continuous Dynamical Systems, 2021, 41 (5) : 24752518. doi: 10.3934/dcds.2020372 
[19] 
Yonggeun Cho, Hichem Hajaiej, Gyeongha Hwang, Tohru Ozawa. On the orbital stability of fractional Schrödinger equations. Communications on Pure & Applied Analysis, 2014, 13 (3) : 12671282. doi: 10.3934/cpaa.2014.13.1267 
[20] 
Masahito Ohta. Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement. Communications on Pure & Applied Analysis, 2018, 17 (4) : 16711680. doi: 10.3934/cpaa.2018080 
2020 Impact Factor: 1.392
Tools
Metrics
Other articles
by authors
[Back to Top]