The localized excitation on the Jacobi elliptic function periodic background for the Gross-Pitaevskii equation
type: Item
instance of: scholarly article
title: The localized excitation on the Jacobi elliptic function periodic background for the Gross-Pitaevskii equation
zbMATH Open document ID: 1546.35217
author: Xuemei Xu
author: Yun-Qing Yang
published in: Applied Mathematics Letters
publication date: 2024-08-30T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 33E05
zbMATH DE Number: 7903724
zbMATH Keywords: Gross-Pitaevskii equation
zbMATH Keywords: periodic wave background
zbMATH Keywords: Darboux-Bäcklund transformation
zbMATH Keywords: breather
MaRDI profile type: Publication
cites work: Q5697068
cites work: Q3583778
cites work: Vector financial rogue waves
cites work: Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations
cites work: Q4002235
cites work: Q3925229
cites work: Q3995225
cites work: Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
cites work: Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation
cites work: Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background
cites work: Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel'nikov equation
cites work: Darboux-Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation
cites work: Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation
cites work: PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
cites work: Multi‐breather and high‐order rogue waves for the nonlinear Schrödinger equation on the elliptic function background
cites work: Elliptic soliton solutions: \(\tau\) functions, vertex operators and bilinear identities
cites work: Elliptic solitons and “freak waves”
cites work: Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity
cites work: Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials
DOI: 10.1016/J.AML.2024.109208
description: scientific article; zbMATH DE number 7903724