Results 81 to 90 of about 746,627 (265)

Analytical Soliton Solutions Modeling of Nonlinear Schrödinger Equation with the Dual Power Law Nonlinearity

پژوهش‌های ریاضی, 2018
Introduction In this study, we use a newly proposed method based on the software structure of the maple, called the Khaters method, and will be introducing exponential, hyperbolic, and trigonometric solutions for one of the Schrödinger equations, called ...
Ahmad Neirameh, Saeed Shokooh
doaj  

Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation

, 2017
Under investigation in this paper is a (2+1)-dimensional nonlinear Schrödinger equation (NLS), which is a generalisation of the NLS equation. By virtue of Wronskian determinants, an effective method is presented to succinctly construct the breather wave ...
Xiu-Bin Wang, Shou‐Fu Tian, Tian‐Tian Zhang   +2 more
semanticscholar   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Study of optical soliton fibers with power law model by means of higher-order nonlinear Schrödinger dynamical system

Results in Physics, 2019
In this paper, the higher-order nonlinear Schrödinger equation (NLSE) represents description of the propagation of short light pulses in mono-mode optical fibers.
Sultan Z. Alamri, Aly R. Seadawy, Haya M. Al-Sharari   +2 more
doaj  

Numerical Simulation for the Wave of the Variable Coefficient Nonlinear Schrödinger Equation Based on the Lattice Boltzmann Method

Mathematics
The variable coefficient nonlinear Schrödinger equation has a wide range of applications in various research fields. This work focuses on the wave propagation based on the variable coefficient nonlinear Schrödinger equation and the variable coefficient ...
Huimin Wang, Hengjia Chen, Ting Li
doaj   +1 more source

Symmetric Ground States Solutions of M-Coupled Nonlinear Schrodinger Equations [PDF]

arXiv, 2009
We prove the existence of radial and radially decreasing ground states of an m-coupled nonlinear Schrodinger equation with a general nonlinearity.
arxiv  

Action functional as an early warning indicator in the space of probability measures via Schrödinger bridge

Quantitative Biology, Volume 13, Issue 3, September 2025.
Abstract Critical transitions and tipping phenomena between two meta‐stable states in stochastic dynamical systems are a scientific issue. In this work, we expand the methodology of identifying the most probable transition pathway between two meta‐stable states with Onsager–Machlup action functional, to investigate the evolutionary transition dynamics ...
Peng Zhang, Ting Gao, Jin Guo, Jinqiao Duan   +3 more
wiley   +1 more source

Complex optical solutions and modulation instability of hyperbolic Schrödinger dynamical equation

Results in Physics, 2019
Complex hyperbolic Schrödinger equation describes ultra-short pulse propagation in nonlinear media fiber optics. In this paper, new complex solutions for the complex hyperbolic Schrödinger equation are constructed using generalized elliptic equation ...
Wilson Osafo Apeanti, Aly R. Seadawy, Dianchen Lu   +2 more
doaj  

Existence and regularity of solutions in nonlinear wave equations [PDF]

arXiv, 2014
In this paper, we study the global existence and regularity of H\"older continuous solutions for a series of nonlinear partial differential equations describing nonlinear waves.
arxiv  

Characterization and Inhibition of the Chaperone Function of Plasmodium falciparum Glucose‐Regulated Protein 94 kDa (Pf Grp94)

Proteins: Structure, Function, and Bioinformatics, Volume 93, Issue 5, Page 957-971, May 2025.
ABSTRACT Plasmodium falciparum expresses four heat shock protein 90 (Hsp90) members. Among these, one, glucose‐regulated protein 94 (PfGrp94), is localized in the endoplasmic reticulum (ER). Both the cytosolic and ER‐based Hsp90s are essential for parasite survival under all growth conditions.
Florence Lisa Muzenda, Melissa Louise Stofberg, Wendy Mthembu, Ikechukwu Achilonu, Erick Strauss, Tawanda Zininga   +5 more
wiley   +1 more source