The dynamic of the positons for the reverse space-time nonlocal short pulse equation
type: Item
instance of: scholarly article
title: The dynamic of the positons for the reverse space-time nonlocal short pulse equation
author: Jiaqing Shan
author: Maohua Li
published in: Physica D
publication date: 2025-01-22T00:00:00Z
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 7973235
zbMATH Keywords: reverse space-time nonlocal short pulse equation
zbMATH Keywords: Darboux transformation
zbMATH Keywords: positon
zbMATH Keywords: decomposition
zbMATH Keywords: mixed solution
zbMATH Keywords: interaction
MaRDI profile type: Publication
cites work: Propagation of ultra-short optical pulses in cubic nonlinear media
cites work: Ultra-short pulses in linear and nonlinear media
cites work: On Equations Which Describe Pseudospherical Surfaces
cites work: Complex short pulse and coupled complex short pulse equations
cites work: The short pulse hierarchy
cites work: The bi-Hamiltonian structure of the short pulse equation
cites work: The Short Pulse Equation Is Integrable
cites work: The short pulse equation by a Riemann-Hilbert approach
cites work: Long-time asymptotics for the short pulse equation
cites work: Periodic solutions of the short pulse model equation
cites work: On the Coupled Dispersionless-type Equations and the Short Pulse-type Equations
cites work: The determinant representation of an N-fold Darboux transformation for the short pulse equation
cites work: A pair of modified short pulse equations and its two-component system in nonlinear media
cites work: Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
cites work: The interaction solitons for the complex short pulse equation
cites work: On two new types of modified short pulse equation
cites work: Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry
cites work: Integrable Nonlocal Nonlinear Equations
cites work: On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation
cites work: Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions
cites work: Collisional dynamics of solitons in the coupled \(\mathcal{PT}\) symmetric nonlocal nonlinear Schrödinger equations
cites work: Nonlocal modified KdV equations and their soliton solutions by Hirota method
cites work: The coupled space-shifted nonlocal nonlinear Schrödinger equation: multiple bright-dark double-pole solitons, multiple negaton-type solitons, and their associated mixed solitons
cites work: The multiple double-pole solitons and multiple negaton-type solitons in the space-shifted nonlocal nonlinear Schrödinger equation
cites work: A novel multi-component generalization of the short pulse equation and its multisoliton solutions
cites work: Transformations between Nonlocal and Local Integrable Equations
cites work: Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation
cites work: Positons of the modified Korteweg de Vries equation
cites work: Dynamics of the smooth positons of the complex modified KdV equation
cites work: Positon solutions of the sine-Gordon equation
cites work: Generating mechanism and dynamic of the smooth positons for the derivative nonlinear Schrödinger equation
cites work: Positons: Slowly decreasing analogues of solitons
cites work: Covariant hodograph transformations between nonlocal short pulse models and the AKNS\((- 1)\) system
cites work: Determinant representation of Darboux transformation for the AKNS system
cites work: Three kinds of Darboux transformation for the evolution equations which connect with A.K.N.S. eigenvalue problem
cites work: Nonlocal continuous Hirota equation: Darboux transformation and symmetry broken and unbroken soliton solutions
DOI: 10.1016/J.PHYSD.2024.134419
description: scientific article; zbMATH DE number 7973235