Results 21 to 30 of about 161,488 (234)

Non-degenerate solutions of universal Whitham hierarchy

, 2010
The notion of non-degenerate solutions for the dispersionless Toda hierarchy is generalized to the universal Whitham hierarchy of genus zero with $M+1$ marked points.
Guil F, Kanehisa Takasaki, Lee Peng Teo, Martínez Alonso L, Martínez Alonso L, Mañas M, Takasaki K, Takashi Takebe, Teo L P   +8 more
core   +1 more source

Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

Advances in Difference Equations, 2019
This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang, Tie-Cheng Xia, Wen-Xiu Ma   +2 more
doaj   +1 more source

A Riemann-Hilbert Problem for an Energy Dependent Schr\"odinger Operator

, 1997
\We consider an inverse scattering problem for Schr\"odinger operators with energy dependent potentials. The inverse problem is formulated as a Riemann-Hilbert problem on a Riemann surface.
Beals R, Beals R, Beals R, David H Sattinger, Deift P, Drazin P G, Fordy A P, Jacek Szmigielski, Jaulent M, Jaulent M, Jaulent M, Kaup D, Matveev V B, Novikov S P, Sachs R, Sachs R, Sattinger D H, Zakharov V E   +17 more
core   +1 more source

The asymptotic limits of Riemann solutions for the isentropic extended Chaplygin gas dynamic system with the vanishing pressure

Boundary Value Problems, 2018
We construct the solutions to the Riemann problem for the isentropic extended Chaplygin gas dynamic system for all kinds of situations by the phase plane analysis.
Meizi Tong, Chun Shen, Xiuli Lin
doaj   +1 more source

Response of a Fermi gas to time-dependent perturbations: Riemann-Hilbert approach at non-zero temperatures

, 2006
We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multi-channel) Fermi gases.
Bernd Braunecker, F. G. Fumi, G. D. Mahan, N. I. Muskhelishvili, N. P. Vekua, R. Estrada   +5 more
core   +1 more source

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source

Riemann Problem for Shallow Water Equation with Vegetation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We investigate the existence of the solution of the Riemann Problem for a simplified water ow model on a vegetated surface - system of shallow water type equations. It is known that the system with discontinuous topography is non-conservative even if the
Ion Stelian, Marinescu Dorin, Cruceanu Stefan-Gicu   +2 more
doaj   +1 more source

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
doaj   +1 more source

Associations Between Comorbidities, Developmental Status, and Disease Severity in Children With Autism Spectrum Disorder: A Multicenter Cross‐Sectional Study in China

Autism Research, EarlyView.
ABSTRACT Children with autism spectrum disorder (ASD) frequently present with co‐occurring conditions that can influence autism symptom severity and complicate clinical management. However, studies with clinician‐confirmed diagnoses in non‐Western populations remain limited.
Dizhou Pang, Guiqin Duan, Qing Shang, Huichun Zhang, Binbin Wang, Huaili Ding, Huihui Kang, Yue Zhao, Yuxia Lu, Gai Tian, Li Zhang, Wu Jiang, Ganyu Wang, Cailing Liang, Lingling Zhang, Bingbing Li, Zhenghua Li, Chunlan Song, Yanyan Yang, Yazhe Wang, Kaichen Yue, Yongbin Lang, Jiatian Liu, Xiaoli Zhang, Yiran Xu, Changlian Zhu   +25 more
wiley   +1 more source

Riemann boundary-value problem for doubly-periodic bianalytic functions

Boundary Value Problems, 2018
In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value ...
Huili Han, Hua Liu, Yufeng Wang
doaj   +1 more source