Several exact solutions of the reduced fourth-order flow equation of the Kaup-Newell system

DOI10.1016/j.wavemoti.2021.102840OpenAlexW3217765107MaRDI QIDQ2124102

Jingwei Han, Jing Yu, Huaxin Zhou

Publication date: 14 April 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2021.102840

zbMATH Keywords

nonlinear equationssoliton solutionsDarboux transformationbreather solutionsfourth-order flow equation of the KN systempositon solutionsrogue waves solutions

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• On rogue wave in the Kundu-DNLS equation
• Breather and rogue wave solutions for a nonlinear Schrödinger-type system in plasmas
• Determinant representation of Darboux transformation for the AKNS system
• On the Darboux matrices of Bäcklund transformations for AKNS systems
• Solving the modified regularized long wave equations via higher degree B-spline algorithm
• Optical solitons and other solutions to Kaup-Newell equation with Jacobi elliptic function expansion method
• Darboux transformation of the second-type derivative nonlinear Schrödinger equation
• Two binary Darboux transformations for the KdV hierarchy with self-consistent sources
• The rogue wave and breather solution of the Gerdjikov-Ivanov equation
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers
• An exact solution for a derivative nonlinear Schrödinger equation
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
• The solutions of the NLS equations with self-consistent sources
• Negaton and positon solutions of the soliton equation with self-consistent sources
• Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation
• On a novel integrable generalization of the nonlinear Schrödinger equation
• Darboux transformation and soliton solutions for the Boiti–Pempinelli–Tu (BPT) hierarchy
• Several categories of exact solutions of the third-order flow equation of the Kaup-Newell system

This page was built for publication: Several exact solutions of the reduced fourth-order flow equation of the Kaup-Newell system