Results 121 to 130 of about 14,965,840 (158)

Time-dependent Bivariational Principle: Theoretical Foundation for Real-Time Propagation Methods of Coupled-Cluster Type. [PDF]

J Phys Chem A
Kvaal S, Fredheim HR, Højlund MG, Pedersen TB.   +3 more
europepmc   +1 more source

Hamiltonian Formulation and Aspects of Integrability of Generalised Hydrodynamics. [PDF]

Ann Henri Poincare
Bonnemain T, Caudrelier V, Doyon B.
europepmc   +1 more source

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A novel Riemann–Hilbert approach via t-part spectral analysis for a physically significant nonlocal integrable nonlinear Schrödinger equation

Nonlinearity, 2023
In this paper, a novel Riemann–Hilbert (RH) approach is reported for a physically significant nonlocal integrable nonlinear Schrödinger equation. In this RH approach, the spectral analysis is performed from the t-part of the Lax pair rather than the x ...
Jianping Wu
semanticscholar   +1 more source

Explicit Nth order solutions of Fokas–Lenells equation based on revised Riemann–Hilbert approach

Journal of Mathematics and Physics, 2023
We develop a revised Riemann–Hilbert problem (RHP) to the Fokas–Lenells (FL) equation with a zero boundary condition, satisfying the normalization condition, and the potential of the FL equation is recovered from the asymptotic behavior of RHP when the ...
Yongshuai Zhang, Deqin Qiu, Jingsong He
semanticscholar   +1 more source

Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles

Studies in applied mathematics (Cambridge), 2021
In this paper, we present the inverse scattering transformation (IST) for discrete sine‐Gordon equation via the Riemann–Hilbert approach. In the direct scattering part, we establish analyticity, symmetries, and asymptotic properties of Jost solutions and
Meisen Chen, E. Fan
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Non-isospectral mKdV-NLS-like equation with variable coefficients in terms of differential-integral form: Riemann–Hilbert approach and N-fold e-exponential function solution

Modern physics letters B
This paper mainly reports the study of the Riemann–Hilbert method (RHM) for solving variable-coefficient nonlinear partial differential-integral equations related to non-isospectral problems, using the non-isospectral mKdV-NLS-like (mKdV and NLS are ...
Chunxia An, Sheng Zhang
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Riemann–Hilbert Approach for the Hirota–Satsuma Coupled KdV System

Studies in applied mathematics (Cambridge)
In this paper, the Riemann–Hilbert (RH) method is developed to solve the Hirota–Satsuma coupled KdV (HScKdV) system associated with 4×4$4\times 4$ matrix spectral problem.
Haibing Zhang, Xianguo Geng, Huan Liu
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Riemann–Hilbert approach, dark solitons and double‐pole solutions for Lakshmanan–Porsezian–Daniel equation in an optical fiber, a ferromagnetic spin or a protein

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Inverse scattering transform for the defocusing Lakshmanan–Porsezian–Daniel equation with nonzero boundary condition is constructed via the Riemann–Hilbert approach.
Su‐Su Chen, Bo Tian, He-Yuan Tian, Cong-Cong Hu   +3 more
semanticscholar   +1 more source

The revised Riemann–Hilbert approach to the Kaup–Newell equation with a non-vanishing boundary condition: Simple poles and higher-order poles

Journal of Mathematics and Physics
With a non-vanishing boundary condition, we study the Kaup–Newell (KN) equation (or the derivative nonlinear Schrödinger equation) using the Riemann–Hilbert approach.
Yongshuai Zhang, Deqin Qiu, Shoufeng Shen, Jingsong He   +3 more
semanticscholar   +1 more source

The Riemann–Hilbert approach for the nonlocal derivative nonlinear Schrödinger equation with nonzero boundary conditions

Zeitschrift für Angewandte Mathematik und Physik
In this paper, the nonlocal reverse space-time derivative nonlinear Schrödinger equation under nonzero boundary conditions is investigated using the Riemann–Hilbert (RH) approach.
Xin-Yu Liu, Rui Guo
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