Results 31 to 40 of about 30,630 (137)

ON APPROXIMATE AND CLOSED-FORM SOLUTION METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS

, 2016
This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients.
G. O. Akinlabi, S. Edeki
semanticscholar   +1 more source

The exact traveling wave solutions to the nonlinear space-time fractional modified Benjamin-Bona-Mahony equation

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, 2018
In this paper, the analytical solutions to the space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation involving conformable fractional derivative in science and engineering are examined by using the proposed fractional generalized ) / ( G G ...
M. Islam, M. Akbar, M. Azad
semanticscholar   +1 more source

Integration of PDEs by differential geometric means

, 2013
We use Vessiot theory and exterior calculus to solve partial differential equations(PDEs) of the type uyy = F(x, y,u,ux,uy,uxx,uxy) and associated evolution equations. These equations are represented by the Vessiot distribution of vector fields.
Prince, Geoff, Tehseen, Naghmana
core   +1 more source

On the exact soliton solutions and different wave structures to the (2+1) dimensional Chaffee–Infante equation

Results in Physics
Nonlinear phenomena observed in diverse scientific disciplines, including fluid dynamics, plasma physics, and biology, are frequently described by partial differential equations (PDEs).
Chaoyang Zhu, Mawaheb Al-Dossari, S. Rezapour, B. Gunay   +3 more
doaj   +1 more source

Complex plane representations and stationary states in cubic and quintic resonant systems

, 2019
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have constructed a large class of such resonant systems (with specific representatives ...
Biasi, Anxo, Bizon, Piotr, Evnin, Oleg
core   +1 more source

Partially integrable systems in multidimensions by a variant of the dressing method. 1

, 2006
In this paper we construct nonlinear partial differential equations in more than 3 independent variables, possessing a manifold of analytic solutions with high, but not full, dimensionality. For this reason we call them ``partially integrable''.
A I Zenchuk, Ablowitz M J, Ablowitz M J, Beals R Coifman R R, Bogdanov L V, Calogero F, Drinfeld V G, Konopelchenko B, Manakov S V Santini P M, P M Santini, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zakharov V E, Zenchuk A   +16 more
core   +1 more source

Abundant Closed-Form Soliton Solutions to the Fractional Stochastic Kraenkel–Manna–Merle System with Bifurcation, Chaotic, Sensitivity, and Modulation Instability Analysis

Fractal and Fractional
An essential mathematical structure that demonstrates the nonlinear short-wave movement across the ferromagnetic materials having zero conductivity in an exterior region is known as the fractional stochastic Kraenkel–Manna–Merle system.
J. R. M. Borhan, M. Mamun Miah, Faisal Alsharif, Mohammad Kanan   +3 more
doaj   +1 more source

Matching in the method of controlled Lagrangians and IDA-passivity based control [PDF]

, 2005
This paper reviews the method of controlled Lagrangians and the interconnection and damping assignment passivity based control (IDA-PBC)method. Both methods have been presented recently in the literature as means to stabilize a desired equilibrium point ...
Blankenstein, Guido, Ortega, Romeo, Schaft, Arjan J. van der   +2 more
core   +2 more sources

Nonlocal Phases of Local Quantum Mechanical Wavefunctions in Static and Time-Dependent Aharonov-Bohm Experiments

, 2010
We show that the standard Dirac phase factor is not the only solution of the gauge transformation equations. The full form of a general gauge function (that connects systems that move in different sets of scalar and vector potentials), apart from Dirac ...
Brown R A, Felsager B, Feynman R P, He G P, Konstantinos Moulopoulos, Luan P G, Peshkin M Tonomura A, Silverman M P, Silverman M P, Tollaksen J Aharonov Y Casher A Kaufherr T Nussimov S, Troudet T, van Kampen N G   +11 more
core   +1 more source

Consensus-based control for a network of diffusion PDEs with boundary local interaction

, 2015
In this paper the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed.
Orlov, Y., Pilloni, A., Pisano, A., Usai, E.   +3 more
core   +1 more source