A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation

Autor: Ruslan Barkov, Dmitry Shepelsky
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Druh dokumentu: article
ISSN: 2297-4687
DOI: 10.3389/fams.2024.1466965
Popis: We develop a Riemann–Hilbert approach to the modified focusing complex short pulse (mfcSP) equationuxt=u+12u¯(u2)xxwith zero boundary conditions (as |x| → ∞). We obtain a parametric representation of the solution of the initial value problem for the mfcSP equation in terms of the solution of the associated Riemann–Hilbert problem. This representation is then used for retrieving one-soliton solutions.
Databáze: Directory of Open Access Journals