Results 131 to 140 of about 14,965,840 (158)

The Riemann–Hilbert Approach for the Discrete Hirota Equations in a Nonzero Background

Mathematical methods in the applied sciences
The primary objective of this article is to obtain soliton solutions for the discrete Hirota equation under nonzero boundary conditions, utilizing the Riemann–Hilbert approach. A suitable Riemann–Hilbert problem was formulated employing the Jost solution
Yipu Chen, Biao Li
semanticscholar   +1 more source

Application of the Riemann–Hilbert Approach and \(N\)-soliton Solutions for the Generalized Fokas–Lenells Equation

Acta Physica Polonica B
This paper investigates the generalized Fokas–Lenells equation by the Riemann–Hilbert approach. A gauge transformation is introduced to symmetrize the originally asymmetric spectral problem. A novel Riemann–Hilbert method is developed for the generalized
Y. Zhao, H. Nie
semanticscholar   +1 more source

N-soliton solutions and asymptotic analysis for the massive Thirring model in laboratory coordinates via the Riemann–Hilbert approach

Communications in Theoretical Physics
In this paper, the N-soliton solutions for the massive Thirring model (MTM) in laboratory coordinates are analyzed via the Riemann–Hilbert (RH) approach.
Yuan Li, Min Li, Tao Xu, Yehui Huang, Chuan-Xin Xu   +4 more
semanticscholar   +1 more source

The Riemann-Hilbert approach for the higher-order Gerdjikov-Ivanov equation, soliton interactions and position shift

Communications in nonlinear science & numerical simulation, 2023
Zhifu Zou, Rui Guo
semanticscholar   +1 more source

Soliton solutions and a bi-Hamiltonian structure of the fifth-order nonlocal reverse-spacetime Sasa-Satsuma-type hierarchy via the Riemann-Hilbert approach

AIMS Mathematics
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 \times 5 $ matrix AKNS spectral problem.
Ahmed M. G. Ahmed, Alle Adjiri, Solomon Manukure   +2 more
semanticscholar   +1 more source

Riemann-Hilbert Approach to the Reverse Space-Time Nonlocal Short Pulse Equation

Chinese Physics B
In this paper, we investigate the reverse space-time nonlocal short pulse (NSP) equation. First, starting from the Lax pair of reverse space-time nonlocal short pulse equation, we derive and present its isospectral deformations.
Xue Yao, Ning Zhang
semanticscholar   +1 more source

Riemann–Hilbert approach to the higher-order Kaup-Newell equation on the half line

Chinese Physics B
The higher-order Kaup–Newell equation is examined by applying the Fokas unified method on the half-line. We demonstrate that the solution can be expressed in relation to the resolution of the Riemann–Hilbert problem.
Hui 慧 Yu 于, N. Zhang 张
semanticscholar   +1 more source

Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

, 2000
P. Deift
semanticscholar   +1 more source

Riemann-Hilbert Approach and the Soliton Solutions of the Discrete Mkdv Equations

Social Science Research Network, 2023
Meisen Chen, E. Fan, Jingsong He
semanticscholar   +1 more source

Scattering-data constraints, soliton solutions and dynamical behaviors of a shifted nonlocal Manakov equation by a novel improved Riemann–Hilbert approach

Optical and quantum electronics
Jianping Wu
semanticscholar   +1 more source