Existence of solitary waves to a generalized Kadomtsev-Petviashvili equation

DOI10.1016/S0252-9602(12)60087-3zbMath1274.35311MaRDI QIDQ1954316

Zhanping Liang, Jiabao Su

Publication date: 20 June 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

solitary wavesmountain pass theoremgeneralized Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (8)

Existence and concentration of nontrivial solitary waves for a generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^2\) ⋮ Existence, regularity, and concentration phenomenon of nontrivial solitary waves for a class of generalized variable coefficient Kadomtsev-Petviashvili equation ⋮ Solitons and periodic traveling waves for a hyperelastic dispersive equation ⋮ Unnamed Item ⋮ Multiple solutions and ground state solutions for a class of generalized Kadomtsev-Petviashvili equation ⋮ Multiple solitary waves for a generalized Kadomtsev-Petviashvili equation with a potential ⋮ Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass ⋮ On the high-energy solitary wave solutions for a generalized KP equation in a bounded domain

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