Soliton, breather and lump molecules in the \((2+1)\)-dimensional B-type Kadomtsev-Petviashvili-Korteweg de-Vries equation

DOI10.11948/20210132MaRDI QIDQ6577087

Hong-Yu Wu, Huiling Wu, Quanyong Zhu, Jinxi Fei, Zheng-Yi Ma

Publication date: 23 July 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

elastic interaction\((2+1)\)-dimensional BKP-KdV equationbreather-soliton moleculelump-breather moleculelump-soliton molecule

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

• Title not available (Why is that?)
• Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
• Rogue waves, homoclinic breather waves and soliton waves for the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• State transition of lump-type waves for the \((2+1)\)-dimensional generalized KdV equation
• Analysis on lump, lumpoff and rogue waves with predictability to the \((2 + 1)\)-dimensional B-type Kadomtsev-Petviashvili equation
• Two B-type Kadomtsev-Petviashvili equations of \((2+1)\) and \((3+1)\) dimensions: multiple soliton solutions, rational solutions and periodic solutions
• Lump and interaction solutions to linear \((4+1)\)-dimensional PDEs
• Soliton molecules in Sharma-Tasso-Olver-Burgers equation
• Soliton molecules and novel smooth positons for the complex modified KdV equation
• Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation
• Soliton molecules and some novel types of hybrid solutions to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
• Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
• \(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation
• Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions
• Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada–Kotera equation
• Soliton molecules and the CRE method in the extended mKdV equation
• Solitons and soliton molecules in two nonlocal Alice–Bob Sawada–Kotera systems
• On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry

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