Strong Instability of Solitary-Wave Solutions to a Kadomtsev–Petviashvili Equation in Three Dimensions

Yue Liu

Type: Article

Publication Date: 2002-03-01

Citations: 35

DOI: https://doi.org/10.1006/jdeq.2001.4054

View Publication

Locations

Journal of Differential Equations - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation	2000	Yue Liu
+ PDF Chat	Instability of solitary waves of the generalized higher-order KP equation	2011	Amin Esfahani
+ PDF Chat	Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation	2002	Jerry L. Bona Yue Liu
+	Analyticity of solitary wave solutions to generalized Kadomtsev—Petviashvili equations	2001	Keiichi Kato Patrick-Nicolas Pipolo
+ PDF Chat	Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation	1997	Yue Liu Xiaoping Wang
+	Generalized Kadomtsev-Petviashvili equation	1996	Michel Willem
+ PDF Chat	Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations	2012	Christian Klein Jean‐Claude Saut
+	Solitary waves of the generalized Kadomtsev-Petviashvili equations	2002	Wenming Zou
+ PDF Chat	Solitary waves of generalized Kadomtsev–Petviashvili equations	1997	Anne de Bouard Jean‐Claude Saut
+	Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev--Petviashvili equation in $\mathbb{R}^2$	2022	Claudianor O. Alves Chao Ji
+ PDF Chat	Existence and Concentration of Nontrivial Solitary Waves for a Generalized Kadomtsev--Petviashvili Equation in $\Mathbb{R}^2$	2022	Claudianor O. Alves Chao Ji
+	Transverse Instability of Solitary Waves in the Generalized Kadomtsev-Petviashvili Equation	2000	Takeshi Kataoka Michihisa Tsutahara Yoshihiro Negoro
+	Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations	2010	Christian Klein Jean‐Claude Saut
+ PDF Chat	Solitary wave analysis of the Kadomtsev–Petviashvili model in mathematical physics	2023	Md. Tarikul Islam Md. Motaleb Hossain Khalifa Mohammad Helal Udoy S. Basak Rajandra Chadra Bhowmik M. Ali Akbar
+	Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation	1994	X.P. Wang Mark J. Ablowitz Harvey Segur
+	Solitary wave solutions for the modified Kadomtsev–Petviashvili equation	2007	Xiaoshan Zhao Wei Xu Huabing Jia Hongxian Zhou
+	Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves	1997	Anne de Bouard Jean–Claude Saut
+	Existence of nontrivial solitary wave for a generalized Kadomtsev–Petviashvili equation with the potential	2023	Chao Ji Rong Jiang
+	Stability of two-dimensional solitary waves of the Kadomtsev-Petviashvili equation	1985	S. K. Zhdanov
+	On the generalized Kadomtsev–Petviashvili equation with generalized evolution and variable coefficients	2010	Amin Esfahani

Works That Cite This (31)

Action	Title	Year	Authors
+	Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's	2008	Frédéric Rousset Nikolay Tzvetkov
+ PDF Chat	Invariant Manifolds of Traveling Waves of the 3D Gross–Pitaevskii Equation in the Energy Space	2018	Jiayin Jin Zhiwu Lin Chongchun Zeng
+ PDF Chat	Transverse nonlinear instability for two-dimensional dispersive models	2008	Frédéric Rousset N. Tzvetkov
+ PDF Chat	Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations	2012	Christian Klein Jean‐Claude Saut
+ PDF Chat	Instability of solitary waves of the generalized higher-order KP equation	2011	Amin Esfahani
+ PDF Chat	Numerical Study of Solutions of the 3D Generalized Kadomtsev-Petviashvili Equations for Long Times	2009	F. Hamidouche Youcef Mammeri S.M. Mefire
+ PDF Chat	Numerical study of the regularizing effect of the 3D weakly transverse BBM equations for long times	2012	Youcef Mammeri
+ PDF Chat	Instability of bound states of a nonlinear Schrödinger equation with a Dirac potential	2008	Stefan Le Coz Reika Fukuizumi Gadi Fibich Baruch Ksherim Yonatan Sivan
+ PDF Chat	Instability for standing waves of nonlinear Klein-Gordon equations via mountain-pass arguments	2009	Louis Jeanjean Stefan Le Coz
+	The KdV/KP-I limit of the Nonlinear Schrodinger equation	2008	David Chiron Frédéric Rousset

Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	Blow up and instability of solitary-wave solutions to a generalized Kadomtsev-Petviashvili equation	2000	Yue Liu
+	Local Solution for the Kadomtsev-Petviashvili Equation in R2	1995	Pedro Isaza Jorge Mejía Volker Stallbohm
+ PDF Chat	Inverse scattering for the heat operator and evolutions in 2+1 variables	1987	Mladen Victor Wickerhauser
+	Stability and instability of solitary waves of Korteweg-de Vries type	1987	Jerry L. Bona Panagiotis E. Souganidis Walter A. Strauss
+ PDF Chat	Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation	1997	Yue Liu Xiaoping Wang
+	Recent Results on the Generalized Kadomtsev—Petviashvili Equations	1995	Jean‐Claude Saut
+ PDF Chat	Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation	1990	Xin Zhou
+	Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation	1994	X.P. Wang Mark J. Ablowitz Harvey Segur
+	Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves	1997	Anne de Bouard Jean–Claude Saut
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb