The Korteweg–de Vries equation on a metric star graph

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Cite
Cavalcante, Márcio. “The Korteweg–de Vries Equation on a Metric Star Graph”. Zeitschrift für Angewandte Mathematik Und Physik, vol. 69, no. 5, 2018, https://doi.org/10.1007/s00033-018-1018-6.
Cavalcante, M. (2018). The Korteweg–de Vries equation on a metric star graph. Zeitschrift für Angewandte Mathematik Und Physik, 69(5). https://doi.org/10.1007/s00033-018-1018-6
Cavalcante M. The Korteweg–de Vries equation on a metric star graph. Zeitschrift für angewandte Mathematik und Physik. 2018;69(5).
Refrences
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Airy-type evolution equations on star graphs Analysis & PDE 18 2018
Ground state and orbital stability for the NLS equation on a general starlike graph with potentials Nonlinearity
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On the Inverse Scattering Method for Integrable PDEs on a Star Graph Communications in Mathematical Physics
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26 2015
Nonlinear Schrödinger equation on graphs: recent results and open problems

Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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64 2014
Global well-posedness of Korteweg–de Vries equation in H−3/4(R) Journal de Mathématiques Pures et Appliquées
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Citations
Title Journal Journal Categories Citations Publication Date
An integrable matrix NLS equation on star graph and symmetry-dependent connection conditions of vertex Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Asymptotic Stability of KdV Solitons on the Half-Line: A Study in the Energy Space SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Controllability for Schrödinger type system with mixed dispersion on compact star graphs

Evolution Equations and Control Theory
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Standing waves on quantum graphs

Journal of Physics A: Mathematical and Theoretical
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
10 2022
Global Well-Posedness of the KdV Equation on a Star-Shaped Network and Stabilization by Saturated Controllers SIAM Journal on Control and Optimization
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2022
Citations Analysis
The category Science: Mathematics 10 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems and was published in 2019. The most recent citation comes from a 2023 study titled Asymptotic Stability of KdV Solitons on the Half-Line: A Study in the Energy Space. This article reached its peak citation in 2023, with 3 citations. It has been cited in 9 different journals. Among related journals, the São Paulo Journal of Mathematical Sciences cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year