樊方成｜闽南师范大学｜学者主页

2026

Soliton and Rational Solutions in the Modified Boussinesq Equation

Fangcheng Fan, Wei Huang, Guo‐Fu Yu

Mathematical Physics Analysis and Geometry

DOI

2026

Breathers and rogue waves on the background of periodic traveling waves in the Hirota equation

Fangcheng Fan, Guo‐Fu Yu

Physica D Nonlinear Phenomena

DOI

2026

The focusing and defocusing fifth-order semi-discrete mKdV equation: bÄcklund transformation, soliton solution and continuous limit

Ning-Ning Gao, Fangcheng Fan

Reports on Mathematical Physics

DOI

2025

Breather and Rogue Wave Solutions on the Different Periodic Backgrounds in the Focusing Nonlinear Schrödinger Equation

Fangcheng Fan, Wang Tang, Guo‐Fu Yu

Studies in Applied Mathematics

DOI

2024

A mixed integrable lattice hierarchy associated with the relativistic toda lattice: conservation laws, N-fold Darboux transformation and soliton solutions

Guang-Hao Zhang, Fangcheng Fan

Reports on Mathematical Physics

DOI

2024

W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation

Fangcheng Fan, Wei-Kang Xie

Wave Motion

DOI

2023

广义Ablowitz-Ladik方程的守恒律和Darboux变换

谢伟康，樊方成，周冉

《吉林大学学报(理学版)》

2023

Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux–Bäcklund transformation

Fangcheng Fan, Zhi-Guo Xu

Wave motion

DOI

2023

Soliton, breather, rogue wave and continuum limit for the spatial discrete Hirota equation by Darboux–Bäcklund transformation

Fangcheng Fan, Zhi-Guo Xu, Shaoyun Shi

Nonlinear dynamics

DOI

2023

Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation

Weihong Xie, Fangcheng Fan

Journal of Mathematical Analysis and Applications

DOI

2023

Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation

Wei-Kang Xie, Fangcheng Fan

Zeitschrift für Angewandte Mathematik und Physik

DOI

2023

A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution

Fangcheng Fan, Weikang Xie

Reviews in Mathematical Physics

DOI

2022

N-Fold Darboux Transformation and Soliton Solutions for The relativistic Toda Lattice Equation

Fangcheng Fan, Zhiguo Xu, Shaoyun Shi

Reports on Mathematical Physics

DOI

2021

A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions

Fangcheng Fan, Xiao-Yong Wen

DOI

2021

Soliton interactions and conservation laws in a semi-discrete modified KdV equation

Fangcheng Fan

DOI

2021

Discrete N-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice

Fangcheng Fan

International Journal of Geometric Methods in Modern Physics (IJGMMP)

DOI

2020

一类离散可积系统的孤子解

樊方成，周冉

《吉林大学学报(理学版)》

DOI

2020

Conservation laws and Darboux transformations for a 3-coupled integrable lattice equations

Fangcheng Fan, Shaoyun Shi, Zhi-Guo Xu

DOI

2020

Positive and negative integrable lattice hierarchies: Conservation laws and N-fold Darboux transformations

Fangcheng Fan, Shaoyun Shi, Zhi-Guo Xu

Communications in nonlinear science & numerical simulation

DOI

2020

N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation

Fangcheng Fan, Zhi-Guo Xu, Shaoyun Shi

Analysis and Mathematical Physics

DOI

2019

几类微分—差分方程的守恒律与Darboux变换

樊方成

《吉林大学》

2019

一类微分-差分方程的孤子解

樊方成，周冉

《吉林大学学报(理学版)》

DOI

2019

Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system

Fangcheng Fan, Shaoyun Shi, Zhi-Guo Xu

International Journal of Modern Physics B

DOI

2019

A Hierarchy of Integrable Differential-Difference Equations and Darboux Transformation

Fangcheng Fan, Shaoyun Shi, Zhi-Guo Xu

DOI

樊方成

精选作品

期刊论文

Soliton and Rational Solutions in the Modified Boussinesq Equation

Breathers and rogue waves on the background of periodic traveling waves in the Hirota equation

The focusing and defocusing fifth-order semi-discrete mKdV equation: bÄcklund transformation, soliton solution and continuous limit

Breather and Rogue Wave Solutions on the Different Periodic Backgrounds in the Focusing Nonlinear Schrödinger Equation

A mixed integrable lattice hierarchy associated with the relativistic toda lattice: conservation laws, N-fold Darboux transformation and soliton solutions

W-shaped soliton, breather and rogue wave solutions on the elliptic function background in a fifth-order nonlinear Schrödinger equation

广义Ablowitz-Ladik方程的守恒律和Darboux变换

Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux–Bäcklund transformation

Soliton, breather, rogue wave and continuum limit for the spatial discrete Hirota equation by Darboux–Bäcklund transformation

Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation

Soliton and breather solutions on the nonconstant background of the local and nonlocal Lakshmanan–Porsezian–Daniel equations by Bäcklund transformation

A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution

N-Fold Darboux Transformation and Soliton Solutions for The relativistic Toda Lattice Equation

A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions

Soliton interactions and conservation laws in a semi-discrete modified KdV equation

Discrete N-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice

一类离散可积系统的孤子解

Conservation laws and Darboux transformations for a 3-coupled integrable lattice equations

Positive and negative integrable lattice hierarchies: Conservation laws and N-fold Darboux transformations

N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation

几类微分—差分方程的守恒律与Darboux变换

一类微分-差分方程的孤子解

Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system

A Hierarchy of Integrable Differential-Difference Equations and Darboux Transformation

研究方向