Variations of heat equation on the half‐line via the Fokas method
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10303
Abstract: In this review paper, we discuss some of our recent results concerning the rigorous analysis of initial boundary value problems (IBVPs) and newly discovered effects for certain evolution partial differential equations (PDEs). These equations arise… read more here.
Keywords: method; variations heat; fokas; equation half ... See more keywords
Riemann-Hilbert problem for a fourth-order dispersive nonlinear Schrödinger equation on the half-line
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124078
Abstract: Abstract In this paper, we investigate a fourth-order dispersive nonlinear Schrodinger equation on the half-line, which has the physical applications in Heisenberg ferromagnetic spin. Solutions for this equation are expressed in form of the unique… read more here.
Keywords: riemann hilbert; order dispersive; half line; dispersive nonlinear ... See more keywords
Mixed Oblique Derivative Problem for the Helmholtz Equation in a Half-Disk
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DOI: 10.1134/s0012266118100087
Abstract: A mixed oblique derivative boundary value problem is considered for the Helmholtz equation in a half-disk. We prove the unique solvability of this problem for sufficiently large values of the parameter occurring in the equation,… read more here.
Keywords: mixed oblique; helmholtz equation; oblique derivative; equation half ... See more keywords