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Initial Boundary Value Problem for the Coupled Kundu Equations on the Half-Line

open access: yesAxioms
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.
Jiawei Hu, Ning Zhang
doaj   +1 more source

Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle

open access: yesPartial Differential Equations in Applied Mathematics
The modified Helmholtz equation qxx+qyy−4β2q=0, is one of the basic equations of classical mathematical physics. In this paper we have obtained the solution of the boundary-value problems for the modified Helmholtz equation in an equilateral triangle. An
Pratul Gadagkar   +2 more
doaj   +1 more source

From Quantum Curves to Topological String Partition Functions. [PDF]

open access: yesCommun Math Phys, 2023
Coman I, Pomoni E, Teschner J.
europepmc   +1 more source

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