Results 81 to 90 of about 8,345 (262)

Modified (G′/G)-expansion method for finding traveling wave solutions of the coupled Benjamin–Bona–Mahony-KdV equation

Journal of Ocean Engineering and Science, 2019
Using the Lie symmetry approach, the author has examined traveling wave solutions of coupled Benjamin–Bona–Mahony-KdV equation. The coupled Benjamin–Bona–Mahony-KdV equation is reduced to nonlinear ordinary differential equations for all optimal ...
Vikas Kumar
doaj   +1 more source

The Exact Traveling Wave Solutions of a KPP Equation

Symmetry
We obtain the exact analytical traveling wave solutions of the Kolmogorov–Petrovskii–Piskunov equation, with the reaction term belonging to the class of functions, which includes that of the (generalized) Fisher equation, for the particular values of the wave’s speed.
openaire   +3 more sources

TRAVELING WAVE SOLUTIONS TO THE HYPERELASTIC ROD EQUATION

Journal of applied mathematics & informatics, 2015
The author studies an equation describing nonlinear dispersive waves in compressible cylindrical rods, the so called hyperelastic rod equation. The main result is the existence of traveling wave solutions for that equation as well as for two related models (\(b\)-family and modified Camassa-Holm equations).
openaire   +3 more sources

Traveling Wave Solutions of a Nerve Conduction Equation

Biophysical Journal, 1973
We consider a pair of differential equations whose solutions exhibit the qualitative properties of nerve conduction, yet which are simple enough to be solved exactly and explicitly. The equations are of the FitzHugh-Nagumo type, with a piecewise linear nonlinearity, and they contain two parameters.
Rinzel, John, Keller, Joseph B.
openaire   +2 more sources

Gestational Hypoxia Disrupts Medial Ganglionic Eminence Progenitor Dynamics and Interneuron Development in Schizophrenia

Advanced Science, EarlyView.
FES‐derived MGE spheroids exhibit progenitor‐stage alterations in developmental trajectory and hypoxia‐responsive transcriptional programs, followed by functional disruption. Gestational hypoxia recapitulates impaired progenitor proliferation, shortened cell‐cycle progression, interneuron developmental abnormalities, and schizophrenia‐like behaviors in
Peiyan Ni, Qiancheng Zhang, Youhui Jiang, Huiying Yao, Chuqing Zhou, Xiaoyi Tian, Shiyingnan Gao, Jun Zhao, Xinyi Ren, Naxin Xu, Mengshan Fu, Liansheng Zhao, Xueyu Qi, Xueli Yu, Wanjun Guo, Sangmi Chung, Fan Guo, Tao Li   +17 more
wiley   +1 more source

Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay

Boundary Value Problems
This study examines traveling wave solutions of the SIS epidemic model with nonlocal dispersion and delay. The research shows that a key factor in determining whether traveling waves exist is the basic reproduction number R 0 $R_{0}$ . In particular, the
Rassim Darazirar, Rasha M. Yaseen, Ahmed A. Mohsen, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +1 more source

Heat‐Suppressing Projection Two‐Photon Lithography Enables High‐Throughput Sub‐Micrometer Manufacturing of Biopolymer Hydrogels for Tissue Engineering

Advanced Science, EarlyView.
The iLEAP technique integrates high‐throughput two‐photon lithography with extrusion printing, bridging sub‐micrometer precision and macroscopic scaffold fabrication. By employing a low‐exothermic photoinitiator, it mitigates thermal damage to biopolymers and preserves bioactivity.
Qifeng Guan, Yanzhe Fu, Xiangyu Xu, Naitao Li, Sen Hou, Kai Wang, Yufan Wang, Jiakun Li, Ping Li, Jiebo Li, Lizhen Wang, Yubo Fan   +11 more
wiley   +1 more source

Mathematical Modeling of the Influence of Quarantine Measures and Public Enlightenment on the Transmission Dynamic of Lyme Disease

Intermaths
This study explores the existence of traveling wave solutions in the classical Kermack-cKendrick epidemic model with local diffusive. The findings highlight the critical role of the basic reproduction number R0 in shaping wave dynamics.
Imoukhedeme Paul Kehinde, Noah Ismail Aremu   +1 more
doaj   +3 more sources

Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques

Results in Physics, 2018
In this current work, we employ novel methods to find the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation, which are called extended simple equation and exp(-Ψ(ξ))-expansion methods.
Dianchen Lu, Aly R. Seadawy, Asghar Ali
doaj   +1 more source

Traveling wave solutions of a coupled Schrödinger-Korteweg-de Vries equation by the generalized coupled trial equation method. [PDF]

Heliyon, 2023
Shang J, Li W, Li D.
europepmc   +1 more source