On the variational structure of breather solutions

Miguel Á. Alejo, Claudio Muñoz, José M. Palacios

Type: Preprint

Publication Date: 2013-09-03

Citations: 6

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	On the variational structure of breather solutions	2013	Miguel Á. Alejo Claudio Muñoz José Manuel Palacios
+	On the variational structure of breather solutions I: Sine-Gordon equation	2017	Miguel Á. Alejo Claudio Muñoz José M. Palacios
+	Nonlinear stability of Gardner breathers	2017	Miguel Á. Alejo
+	Nonlinear stability of Gardner breathers	2017	Miguel Á. Alejo
+	Nonlinear stability of Gardner breathers	2017	Miguel Á. Alejo
+	On the variational structure of breather solutions II: Periodic MKDV equation	2017	Miguel Á. Alejo Claudio Muñoz José M. Palacios
+	Nonlinear stability of higher order mKdV breathers	2018	Miguel Á. Alejo Eleomar Cardoso
+	Orbital Stability Of A Sum Of Solitons And Breathers Of The Modified Korteweg-de Vries Equation	2021	A. Semenov
+ PDF Chat	Orbital stability of a sum of solitons and breathers of the modified Korteweg–de Vries equation	2022	A. Semenov
+ PDF Chat	On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation	2022	A. Semenov
+	Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization	2019	Miguel Á. Alejo Eleomar Cardoso
+ PDF Chat	Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization	2023	Miguel Á. Alejo
+ PDF Chat	Stability of elliptic function solutions for the focusing modified KdV equation	2023	Liming Ling Xuan Sun
+ PDF Chat	Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models	2024	Jorge Faya Pablo Figueroa Claudio Muñoz Felipe Poblete
+	On the generation of solitons and breathers in the modified Korteweg–de Vries equation	2000	S. R. Clarke Roger Grimshaw Peter D. Miller Efim Pelinovsky Tatiana Talipova
+	Stability of elliptic function solutions for the focusing modified KdV equation	2021	Liming Ling Xuan Sun
+	On the uniqueness of multi-breathers of the modified Korteweg–de Vries equation	2022	A. Semenov
+ PDF Chat	Stability of Breathers for a Periodic Klein-Gordon Equation	2024	Martina Chirilus‐Bruckner Jesús Cuevas–Maraver P. G. Kevrekidis
+ PDF Chat	Dynamics of complex-valued modified KdV solitons with applications to the stability of breathers	2015	Miguel Á. Alejo Claudio Muñoz
+ PDF Chat	Breather’s Properties within the Framework of the Modified Korteweg–de Vries Equation	2020	Ekaterina Didenkulova Efim Pelinovsky

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Nonexistence of small, odd breathers for a class of nonlinear wave equations	2016	Michał Kowalczyk Yvan Martel Claudio Muñoz
+	Orbital stability of periodic waves in the class of reduced Ostrovsky equations	2016	E. R. Johnson Dmitry E. Pelinovsky
+ PDF Chat	The Gardner equation and the stability of multi-kink solutions of the mKdV equation	2016	Claudio Muñoz
+	Instability in nonlinear Schr\"odinger breathers	2016	Claudio Muñoz
+	Orbital stability of periodic waves in the class of reduced Ostrovsky equations	2016	E. R. Johnson Dmitry E. Pelinovsky
+ PDF Chat	Nonlinear Stability of MKdV Breathers	2013	Miguel Á. Alejo Claudio Muñoz

Works Cited by This (38)

Action	Title	Year	Authors
+	The Gardner equation and the stability of multi-kink solutions of the mKdV equation	2011	Claudio Muñoz
+	Stability and Asymptotic Stability for Subcritical gKdV Equations	2002	Yvan Martel Frank Merle Tai‐Peng Tsai
+ PDF Chat	Asymptotic stability of solitary waves	1994	Robert L. Pego Michael I. Weinstein
+ PDF Chat	Spectra of Linearized Operators for NLS Solitary Waves	2007	Shu-Ming Chang Stephen J. Gustafson Kenji Nakanishi Tai‐Peng Tsai
+	Exact Solution of the <i>Modified</i> Korteweg-de Vries Equation for Multiple Collisions of Solitons	1972	Ryogo Hirota
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein
+	Stability and instability of solitary waves of Korteweg-de Vries type	1987	Jerry L. Bona Panagiotis E. Souganidis Walter A. Strauss
+	Method for Solving the Sine-Gordon Equation	1973	Mark J. Ablowitz D. J. Kaup Alan C. Newell Harvey Segur
+	On the ill-posedness of some canonical dispersive equations	2001	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	Stability theory for solitary-wave solutions of scalar field equations	1982	Daniel Henry J. Fernando Perez Walter F. Wreszinski