Results 101 to 110 of about 12,646 (189)

Long time dynamics of highly concentrated solitary waves for the nonlinear Schrödinger equation

Journal of Differential Equations, 2015
In this paper we study the behavior of solutions of a nonlinear Schroedinger equation in presence of an external potential, which is allowed to be singular at one point. We show that the solution behaves like a solitary wave for long time even if we start from a unstable solitary wave, and its dynamics coincide with that of a classical particle ...
openaire   +4 more sources

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, D. J. Benney, H. Buljan, J. D. Joannopoulos, J. Yang, J. Yang, Jianke Yang, Zuoqiang Shi   +7 more
core   +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, Mosfiqur Rahman, Mahtab Uddin, Harun Or Roshid   +3 more
doaj   +1 more source

The frustrated Brownian motion of nonlocal solitary waves

, 2010
We investigate the evolution of solitary waves in a nonlocal medium in the presence of disorder. By using a perturbational approach, we show that an increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The
A. G. Litvak, C. Conti, E. Iannone, F. Abdullaev, G. B. Whitham, V. Folli, Y. S. Kivshar   +6 more
core   +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

Interaction of highly nonlinear solitary waves with elastic solids containing a spherical void

International Journal of Solids and Structures, 2017
Abstract Numerical calculations are performed to examine the interaction of highly nonlinear solitary waves in one-dimensional granular crystals with elastic solids containing a defect in the form of an embedded spherical void. The calculations are based on a coupled numerical model, combining concepts of discrete and finite elements.
A. Schiffer, A.I. Alkhaja, J. Yang, E.N. Esfahani, T.-Y. Kim   +4 more
openaire   +1 more source

The Tantawy technique for modeling fractional KdV and mKdV positron-acoustic solitary waves in an electron-positron-ion plasma with regularized [Formula: see text] distribution. [PDF]

Sci Rep
El-Tantawy SA, Khalid M, Almuqrin AH, Alharbey RA, Alharby AA.   +4 more
europepmc   +1 more source

Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]

Sci Rep
Hussain A, Khalel NJ, Oğul B, Al-Sinan BR, Thaqfan AA, Aly ES, Ibrahim TF.   +6 more
europepmc   +1 more source

Investigation on dynamical perspective of soliton solutions to the nonlinear integrable Akbota equation through a generalized analytical technique. [PDF]

Sci Rep
Iqbal M, Faridi WA, Alrashdi HD, Algethamie R, Aljohani A, El-Meligy M, Nazar NM, Alnowibet KA.   +7 more
europepmc   +1 more source

Investigation of closed form solitons for the stochastic Chavy-Waddy-Kolokolnikov equation in bacterial aggregation. [PDF]

Sci Rep
Nawaz S, Ahmad MO, Ahmed N, Njie T, Baber MZ.   +4 more
europepmc   +1 more source