A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation

被引:6
|
作者
Zhang, Jian-bing [1 ]
Zhang, Ze-xuan [1 ]
机构
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
关键词
INVERSE SCATTERING TRANSFORM; N-SOLITON SOLUTIONS; KDV HIERARCHY; SYSTEMS;
D O I
10.1155/2020/8844078
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A Riemann-Hilbert approach is developed to the multicomponent Kaup-Newell equation. The formula is presented of N-soliton solutions through an identity jump matrix related to the inverse scattering problems with reflectionless potential.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] The revised Riemann-Hilbert approach to the Kaup-Newell equation with a non-vanishing boundary condition: Simple poles and higher-order poles
    Zhang, Yongshuai
    Qiu, Deqin
    Shen, Shoufeng
    He, Jingsong
    JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (08)
  • [2] Geometry of the Kaup-Newell equation
    Guha, P
    REPORTS ON MATHEMATICAL PHYSICS, 2002, 50 (01) : 1 - 12
  • [3] Riemann–Hilbert approach to the higher-order Kaup–Newell equation on the half line
    于慧
    张宁
    Chinese Physics B, 2025, 34 (03) : 234 - 247
  • [4] Conservation laws of a perturbed Kaup-Newell equation
    Yang, Jing-Yun
    Ma, Wen-Xiu
    MODERN PHYSICS LETTERS B, 2016, 30 (32-33):
  • [5] A Riemann-Hilbert Approach for the Novikov Equation
    Boutet De Monvel, Anne
    Shepelsky, Dmitry
    Zielinski, Lech
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2016, 12
  • [6] A Riemann-Hilbert approach to the Laplace equation
    Fokas, AS
    Kapaev, AA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 251 (02) : 770 - 804
  • [7] A Riemann-Hilbert Approach to the Heun Equation
    Dubrovin, Boris
    Kapaev, Andrei
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2018, 14
  • [8] INTEGRABLE COUPLINGS OF SUPER KAUP-NEWELL EQUATION HIERARCHY
    Ji, Jie
    Sun, Ye-Peng
    Zhang, Jian-Bing
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2012, 26 (30):
  • [9] Chirped envelope optical solitons for Kaup-Newell equation
    Triki, Houria
    Biswas, Anjan
    Zhou, Qin
    Moshokoa, Seithuti P.
    Belic, Milivoj
    OPTIK, 2019, 177 : 1 - 7
  • [10] Analytical and numerical treatments for the Kaup-Newell dynamical equation
    Al Qarni, A. A.
    Alshaery, A. A.
    Bakodah, H. O.
    Banaja, M. A.
    Mohammed, A. S. H. F.
    RESULTS IN PHYSICS, 2020, 19