Results 81 to 90 of about 1,929 (184)

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

Scientific African
In this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE

Electronic Journal of Differential Equations, 2010
A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami, Milivoj R. Belic, Nikola Z. Petrovic   +2 more
doaj  

Solutions of the time-independent Schrödinger equation by uniformization on the unit circle

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
The idea presented here of a general quantization rule for bound states is mainly based on the Riccati equation which is a result of the transformed, time-independent, one-dimensional Schrödinger equation.
Kazimierz Rajchel
doaj  

New conditions for obtaining the exact solutions of the general Riccati equation. [PDF]

ScientificWorldJournal, 2014
Bougoffa L.
europepmc   +1 more source

Novel approaches to the construction of solitons in Fokas fiber-optic models

AIP Advances
The Fokas system plays a pivotal role in modeling nonlinear pulse propagation through monomode optical fibers, with exact solutions offering critical insights into the physical mechanisms governing excitation instability.
Guojiang Wu, Chunyan Wang
doaj   +1 more source

Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method. [PDF]

Sci Rep
Zainab A, Saad KM, Abbas M, Hamanah WM, Yousaf MZ, Birhanu A.   +5 more
europepmc   +1 more source

Exploring novel soliton, wave solutions, and modulation instability analysis for the (3+1)-dimensional KP-SKR equation using the improved generalized Riccati equation mapping approach. [PDF]

Sci Rep
Kamel NM, Ahmed HM, Rabie WB.
europepmc   +1 more source

The riccati equation and its bounds

Journal of Computer and System Sciences, 1972
openaire   +2 more sources

On the Riccati equation

Journal of Mathematical Analysis and Applications, 1970
Koch, Richard M, Lowenthal, Franklin
openaire   +1 more source

Wave effects of the space–time fractional order (2+1)-dimensional breaking soliton equation via three consistent methods

Songklanakarin Journal of Science and Technology (SJST)
The main goal of the present paper is to find exact traveling wave solutions of the space-time fractional order (2+1)- dimensional breaking soliton equation using the simple equation (SE) method with Bernoulli equation, the simple equation (SE) method ...
Jiraporn Sanjun, Supinan Janma, Weerachai Thadee, Sirasrete Phoosree   +3 more
doaj