Stability of KdV solitons on the half-line

Article Properties
  • DOI (url)
  • Publication Date
    2019/08/20
  • Indian UGC (journal)
  • Citations
    6
  • Márcio Cavalcante Universidade Federal de Alagoas, Maceió, Brazil
  • Claudio Muñoz Universidad de Chile, Santiago, Chile
Cite
Cavalcante, Márcio, and Claudio Muñoz. “Stability of KdV Solitons on the Half-Line”. Revista Matemática Iberoamericana, vol. 35, no. 6, 2019, pp. 1809-34, https://doi.org/10.4171/rmi/1102.
Cavalcante, M., & Muñoz, C. (2019). Stability of KdV solitons on the half-line. Revista Matemática Iberoamericana, 35(6), 1809-1834. https://doi.org/10.4171/rmi/1102
Cavalcante M, Muñoz C. Stability of KdV solitons on the half-line. Revista Matemática Iberoamericana. 2019;35(6):1809-34.
Citations
Title Journal Journal Categories Citations Publication Date
Long time asymptotics of large data in the Kadomtsev–Petviashvili models

Nonlinearity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
2024
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
Stability of mKdV breathers on the half-line Partial Differential Equations and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
2022
Linear instability criterion for the Korteweg–de Vries equation on metric star graphs

Nonlinearity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
7 2021
Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems São Paulo Journal of Mathematical Sciences
  • Science: Mathematics
3 2019
Citations Analysis
The category Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Korteweg–de Vries equation on a metric star graph and was published in 2018. The most recent citation comes from a 2024 study titled Long time asymptotics of large data in the Kadomtsev–Petviashvili models. This article reached its peak citation in 2024, with 1 citations. It has been cited in 5 different journals. Among related journals, the Nonlinearity 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