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Solitary Waves Bifurcated from Bloch Band Edges in Two-dimensional Periodic Media

, 2007
Solitary waves bifurcated from edges of Bloch bands in two-dimensional periodic media are determined both analytically and numerically in the context of a two-dimensional nonlinear Schr\"odinger equation with a periodic potential.
A. Hasegawa +7 more
core +1 more source

Nuclei discovered new practical insights via optimized soliton-like pulse analysis in a space fractional-time beta-derivatives equations

Scientific Reports
Nerve signal conduction, and particularly in myelinated nerve fibers, is a highly dynamic phenomenon that is affected by various biological and physical factors.
Emmanuel Fendzi-Donfack +10 more
doaj +1 more source

Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods

Advances in Mathematical Physics
The present work deals with the investigation of the time-fractional Klein–Gordon (K-G) model, which has great importance in theoretical physics with applications in various fields, including quantum mechanics and field theory.
Md. Mamunur Roshid +3 more
doaj +1 more source

Black–scholes equation in quantitative finance with variable parameters: a path to a generalized schrodinger equation

Financial Innovation
Background The Black–Scholes–Merton model is considered one of the most important pricing models for financial instruments used for the estimation of stock options and the fair prices of stock options.
Rami Ahmad El-Nabulsi, Waranont Anukool
doaj +1 more source

Exploration of solitary wave solutions of highly nonlinear KDV–KP equation arise in water wave and stability analysis