Decay mode ripple waves within the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
type: Item
instance of: scholarly article
title: Decay mode ripple waves within the \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
author: Xiangyu Yang
author: Zhen Wang
author: Zhao Zhang
published in: Mathematical Methods in the Applied Sciences
publication date: 2024-07-18T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7883093
zbMATH Keywords: Airy function
zbMATH Keywords: lump ripple
zbMATH Keywords: ripplon
zbMATH Keywords: rogue wave
MaRDI profile type: Publication
cites work: Q5621188
cites work: Nonlinear Waves, Solitons and Chaos
cites work: Instabilities and oscillations of one–and two–dimensional Kadomtsev—Petviashvili waves and solitons
cites work: Phase dynamics of periodic waves leading to the Kadomtsev–Petviashvili equation in 3+1 dimensions
cites work: Conformal invariant expansion and high-dimensional Painlevé integrable models
cites work: New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
cites work: Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant
cites work: Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion
cites work: New exact traveling wave solutions of the \((3 + 1)\) dimensional Kadomtsev-Petviashvili (KP) equation
cites work: Comment on the \(3+1\) dimensional Kadomtsev-Petviashvili equations
cites work: Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation
cites work: Rogue wave and a pair of resonance stripe solitons to KP equation
cites work: Semi-rational solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation in a plasma or fluid
cites work: Integrals of products of Airy functions
cites work: Bäcklund transformation of the cylindrical KdV equation
cites work: Soliton Interactions in Two Dimensions
cites work: Decay mode solution of the two-dimensional KdV equation and the generalized Bäcklund transformation
cites work: Decay mode solutions for Kadomtsev-Petviashvili equation
cites work: The decay mode solutions for the cylindrical KP equation
cites work: Rare decaying ripple solutions within the KP equation
DOI: 10.1002/MMA.10132
description: scientific article; zbMATH DE number 7883093