Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\)

DOI10.1016/j.jde.2023.05.040zbMath1518.35016arXiv2209.12214OpenAlexW4379532203MaRDI QIDQ6102673

Publication date: 23 June 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.12214

zbMATH Keywords

solitary wave variational methods Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Solitary waves for incompressible inviscid fluids (76B25) Initial value problems for nonlinear higher-order PDEs (35G25) Wave front sets in context of PDEs (35A18) Soliton solutions (35C08)

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Cites Work

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The concentration-compactness principle in the calculus of variations. The locally compact case. II
Asymptotics for large time of global solutions to the generalized Kadomtsev-Petviashvili equation
On the Cauchy problem for the Kadomtsev-Petviashvili equation
Introduction à la théorie des points critiques et applications aux problèmes elliptiques
Solitary waves of generalized Kadomtsev-Petviashvili equations
Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra
A multiplicity result for the generalized Kadomtsev-Petviashvili equation
Generalized Kadomtsev-Petviashvili equation with an infinite-dimensional symmetry algebra
Solitary waves of the generalized Kadomtsev-Petviashvili equations
Local mountain passes for semilinear elliptic problems in unbounded domains
Minimax theorems
Existence of solitary waves to a generalized Kadomtsev-Petviashvili equation
Multiple solitary waves for a generalized Kadomtsev-Petviashvili equation with a potential
New type of a generalized variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources and its Grammian-type solutions
Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass
Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations
LOCAL AND GLOBAL CAUCHY PROBLEMS FOR THE KADOMTSEV–PETVIASHVILI (KP–II) EQUATION IN SOBOLEV SPACES OF NEGATIVE INDICES
The Cauchy problem for the Kadomtsev-Petviashvili equation
Existence, regularity, and concentration phenomenon of nontrivial solitary waves for a class of generalized variable coefficient Kadomtsev-Petviashvili equation
Stationary solutions for a generalized Kadomtsev-Petviashvili equation in bounded domain
Global low-regularity solutions for Kadomtsev-Petviashvili equation
Homoclinic orbits for asymptotically linear Hamiltonian systems

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