Zobrazeno 1 - 10
of 2 335
pro vyhledávání: '"Riemann–Hilbert problem"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23234-23267 (2024)
Our objective is to explore the intricacies of a nonlinear nonlocal fifth-order scalar Sasa-Satsuma equation in reverse spacetime which is rooted in a nonlocal 5 × 5 matrix AKNS spectral problem. Starting with this spectral problem, we derive both l
Externí odkaz:
https://doaj.org/article/020650de295945499a8a3713e1621d41
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 4, Pp 819-856 (2024)
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation. The nonl
Externí odkaz:
https://doaj.org/article/39314a738ee64358ae7c7b2a37cf79a3
Autor:
Charlier Christophe, Lenells Jonatan
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 3181-3198 (2024)
In a recent study, we showed that the large (x,t)\left(x,t) behavior of a class of physically relevant solutions of Boussinesq’s equation for water waves is described by ten main asymptotic sectors. In the sector adjacent to the positive xx-axis, r
Externí odkaz:
https://doaj.org/article/0580e8a9374c492d8f0482d952cc4b10
Publikováno v:
Results in Physics, Vol 64, Iss , Pp 107945- (2024)
In this article, a time-varying coefficient modified nonlinear Schrödinger equation (tvcmNLSE) with non-zero boundary conditions (NZBCs) at infinity, phase term of which contains time-varying coefficients, is proposed to describe the nonlinear propa
Externí odkaz:
https://doaj.org/article/bbb08511df1e4d6b836d78cfd3dda40a
Autor:
Ruslan Barkov, Dmitry Shepelsky
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
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 f
Externí odkaz:
https://doaj.org/article/5e2ee94b1d04496a9137e7b07d1a8d0e
Akademický článek
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Akademický článek
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Autor:
Jiawei Hu, Ning Zhang
Publikováno v:
Axioms, Vol 13, Iss 9, p 579 (2024)
In this article, the coupled Kundu equations are analyzed using the Fokas unified method on the half-line. We resolve a Riemann–Hilbert (RH) problem in order to illustrate the representation of the potential function in the coupled Kundu equations.
Externí odkaz:
https://doaj.org/article/497e8304f0474beaa3a2a150b9ade092
Publikováno v:
Fractal and Fractional, Vol 8, Iss 6, p 355 (2024)
This article extends the celebrated Riemann–Hilbert (RH) method equipped with mixed spectrum to a new integrable system of three-component coupled time-varying coefficient complex mKdV equations (ccmKdVEs for short) generated by the mixed spectral
Externí odkaz:
https://doaj.org/article/48ff735480a044a78dd3a7c6c2eb8852
Autor:
E. V. Tyurikov
Publikováno v:
Advanced Engineering Research, Vol 23, Iss 1, Pp 17-25 (2023)
Introduction. The paper considers the issues of constructing mathematical models of the momentless equilibrium stress state of elastic convex shells using methods of the complex analysis. At the same time, shells with a piecewise smooth (ribbed) late
Externí odkaz:
https://doaj.org/article/ceef926df4b84d2ea8ea0fcd9e1fbfb0