The Darboux transformation of the Kundu–Eckhaus equation

Article Properties
  • Language
    English
  • DOI (url)
    10.1098/rspa.2015.0236
  • Publication Date
    2015/08/01
  • Journal
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • Indian UGC (journal)
  • Refrences
    60
  • Citations
    75
  • Deqin Qiu Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, Peoples Republic of China
  • Jingsong He Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, Peoples Republic of China
  • Yongshuai Zhang School of Mathematical Sciences, USTC, Hefei, Anhui 230026, Peoples Republic of China
  • K. Porsezian Department of Physics, Pondicherry University, Puducherry 605014, India
Abstract
Cite
Qiu, Deqin, et al. “The Darboux Transformation of the Kundu–Eckhaus Equation”. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, vol. 471, no. 2180, 2015, p. 20150236, https://doi.org/10.1098/rspa.2015.0236.
Qiu, D., He, J., Zhang, Y., & Porsezian, K. (2015). The Darboux transformation of the Kundu–Eckhaus equation. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 471(2180), 20150236. https://doi.org/10.1098/rspa.2015.0236
Qiu, Deqin, Jingsong He, Yongshuai Zhang, and K. Porsezian. “The Darboux Transformation of the Kundu–Eckhaus Equation”. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 471, no. 2180 (2015): 20150236. https://doi.org/10.1098/rspa.2015.0236.
Qiu D, He J, Zhang Y, Porsezian K. The Darboux transformation of the Kundu–Eckhaus equation. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences. 2015;471(2180):20150236.
Journal Categories
Science
Physics
Science
Science (General)
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Citations
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Soliton resolution and asymptotic stability of N-solutions for the defocusing Kundu–Eckhaus equation with nonzero boundary conditions

 Communications in Theoretical Physics
  • Science: Physics
  • Science: Physics
 2024
Integrable turbulence and statistical characteristics of chaotic wave field in the Kundu-Eckhaus equation Physical Review E
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
  • Science: Chemistry: Physical and theoretical chemistry
  • Science: Physics
 2024
Modulational instability mechanisms in exciton-polariton condensates The European Physical Journal Plus
  • Science: Physics
  • Science: Physics
 2024
Robust inverse scattering analysis of discrete high-order nonlinear Schrödinger equation

 Zeitschrift für Naturforschung A
  • Science: Chemistry: Physical and theoretical chemistry
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  • Science: Chemistry: Physical and theoretical chemistry
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 2024
An optimal system, invariant solutions, conservation laws, and complete classification of Lie group symmetries for a generalized (2+1)-dimensional Davey–Stewartson system of equations for the wave propagation in water of finite depth The European Physical Journal Plus
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Citations Analysis
Category Category Repetition
Science: Physics55
Science: Mathematics28
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics15
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods13
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases10
Technology: Chemical technology9
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials9
Technology: Engineering (General). Civil engineering (General)9
Science: Chemistry: Physical and theoretical chemistry7
Science: Physics: Optics. Light7
Technology: Mechanical engineering and machinery7
Science: Physics: Acoustics. Sound6
Science: Chemistry4
Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics3
Science: Science (General)1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Naval Science1
Technology: Ocean engineering1
The category Science: Physics 55 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Kink degeneracy and rogue potential solution for the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation and was published in 2016. The most recent citation comes from a 2024 study titled Modulational instability mechanisms in exciton-polariton condensates. This article reached its peak citation in 2017, with 16 citations. It has been cited in 40 different journals, 5% of which are open access. Among related journals, the Nonlinear Dynamics cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year