Results 31 to 40 of about 585,491 (281)

New singular solutions for the (3+1)-D Protter problem

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
For the nonhomogeneous wave equation with three space and one time variables we study a boundary value problem that can be regarded as a four-dimensional analogue of the Darboux problem in R2.
T.P. Popov
doaj   +1 more source

Solitons behavior of Sasa-Satsuma equation in birefringent fibers with Kerr law nonlinearity using extended F-expansion method

Ain Shams Engineering Journal
Optical soliton solutions in birefringent fibers and other analytic solutions for Sasa-Satsuma equation with Kerr law nonlinearity are investigated using extended F-expansion method.
Mohammed Borg, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
doaj   +1 more source

Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator

Fractal and Fractional, 2023
In this paper, we consider the existence of positive solutions for a singular tempered fractional equation with a p-Laplacian operator. By constructing a pair of suitable upper and lower solutions of the problem, some new results on the existence of ...
Xinguang Zhang, Peng Chen, Hui Tian, Yonghong Wu   +3 more
doaj   +1 more source

Subharmonic Solutions in Singular Systems

Journal of Differential Equations, 1996
The authors consider the problem of bifurcation of periodic solutions in singular systems of differential equations \[ \varepsilon\dot{u}=f(u)+\varepsilon g(t,u,\varepsilon)\quad u\in\mathbb{R}^n, \] where \(g(t+2,u,\varepsilon)=g(t,u,\varepsilon)\) and \(\dot{u}=f(u)\) has an orbit \(\gamma(t)\) homoclinic to a hyperbolic equilibrium point \(p\).
Battelli, Flaviano, Fečkan, Michal
openaire   +2 more sources

Mathematical methods for construction new soliton solutions of Radhakrishnan-Kundu Lakshmanan equation

Alexandria Engineering Journal, 2022
In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation.
H.A. Eldidamony, Hamdy M. Ahmed, A.S. Zaghrout, Y.S. Ali, Ahmed H. Arnous   +4 more
doaj   +1 more source

Singular solutions, repeated roots and completeness for higher-spin chains

, 2014
We investigate the completeness of the solutions of the Bethe equations for the integrable spin-s isotropic (XXX) spin chain with periodic boundary conditions. Solutions containing the exact string i s, i (s-1), ..., -i(s-1), -is are singular. For s>1/2,
Hao, Wenrui, Nepomechie, Rafael I., Sommese, Andrew J.   +2 more
core   +1 more source

Efficacy and Safety Analysis of Roxarestat in Regulating Renal Anemia in Patients on Maintenance Hemodialysis

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Objective To compare the efficacy and safety of roxarestat versus recombinant human erythropoietin (rhEPO) in the management of renal anemia in patients undergoing maintenance hemodialysis. Methods This was a prospective, open‐label, randomized controlled trial.
Lingling Chen, Junjie Zhu, Qiaonan Ge
wiley   +1 more source

The Abrikosov vortex in curved space

Journal of High Energy Physics, 2021
We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes.
Jan Albert
doaj   +1 more source

Singularites in the Bousseneq equation and in the generalized KdV equation

, 2001
In this paper, two kinds of the exact singular solutions are obtained by the improved homogeneous balance (HB) method and a nonlinear transformation. The two exact solutions show that special singular wave patterns exists in the classical model of some ...
A. C. Newell, A. Yu. Kamenshhik, Akira Nakamura, B. J. Gluckman, B. P. Luce, C. R. Doering, C. S. Gardner, D. Bazeia, G. B. Whitham, J. Bonssinesq, J. Eggers, J. Weiss, K. R. Sreenivasan, L. M. Hocking, L. Yang, M. Adler, M. J. Ablowitz, M. J. Landman, M. P. Brenner, M. S. Longuet-Higgins, M. Wang, N. B. Tufillaro, P. G. Drazin, P. Rosenau, P. Rosenau, R. Hirota, U. Frisch, V. I. Karpman, V. I. Karpman, V. M. Galkin, Yang Kongqing, Yang Lei   +31 more
core   +1 more source

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source