Results 51 to 60 of about 1,446 (167)

Optical solitons and their propagations in a time-varying coefficient modified nonlinear Schrödinger equation with non-zero boundary conditions via Riemann–Hilbert method

open access: yesResults in Physics
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 ...
Xiuyan Wei, Yinan Chen, Sheng Zhang
doaj   +1 more source

Dynamical Behavior Analysis of Generalized Chen–Lee–Liu Equation via the Riemann–Hilbert Approach

open access: yesFractal and Fractional
In this paper, we investigate the dynamics of the generalized Chen–Lee–Liu (gCLL) equation utilizing the Riemann–Hilbert method to derive its N-soliton solution.
Wenxia Chen, Chaosheng Zhang, Lixin Tian
doaj   +1 more source

An approach for constructing coefficients of degenerate elliptic complex equations

open access: yesElectronic Journal of Differential Equations, 2013
This article deals with the inverse problem for degenerate elliptic systems of first order equations with Riemann-Hilbert type map in simply connected domains.
Guo Chun Wen
doaj  

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

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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