Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Informacje dla studentów (in Polish) (2)
- Black holes (1)
- Boundedness (1)
- Complex (1)
- Differential equations (1)
-
- Fractional calculus (1)
- Global existence (1)
- Semiclassics (1)
- The Lyapunov's direct method (1)
- The conformable fractional derivative (1)
- The modified (G'/G )-expansion method (1)
- The time fractional Gross-Pitaevskii (GP) equation (1)
- Third order (1)
- Trajectories (1)
- Tunneling (1)
- Vector differential equation (1)
- White holes (1)
- Publication
- Publication Type
Articles 1 - 5 of 5
Full-Text Articles in Other Physics
Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani
Complex Solutions Of The Time Fractional Gross-Pitaevskii (Gp) Equation With External Potential By Using A Reliable Method, Nasir Taghizadeh, Mona N. Foumani
Applications and Applied Mathematics: An International Journal (AAM)
In this article, modified (G'/G )-expansion method is presented to establish the exact complex solutions of the time fractional Gross-Pitaevskii (GP) equation in the sense of the conformable fractional derivative. This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The present approach has the potential to be applied to other nonlinear fractional differential equations. Based on two transformations, fractional GP equation can be converted into nonlinear ordinary differential equation of integer orders. In the end, we will discuss the solutions of the fractional GP equation with external potentials.
On The Global Existence And Boundedness Of Solutions Of Nonlinear Vector Differential Equations Of Third Order, Timur Ayhan, Cemil Tunç
On The Global Existence And Boundedness Of Solutions Of Nonlinear Vector Differential Equations Of Third Order, Timur Ayhan, Cemil Tunç
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we give some criteria to ensure the global existence and boundedness of solutions to a kind of third order nonlinear vector differential equations. By using the Lyapunov's direct method, we obtain a new result on the topic and give an example for the illustrations. Our result includes, completes and improves some earlier results in the literature.
Procesy Cieplne I Aparaty (Lab), Wojciech M. Budzianowski
Inżynieria Chemiczna Lab., Wojciech M. Budzianowski
Complex Semiclassics: Classical Models For Tunneling Using Complex Trajectories, Max Edward Meynig
Complex Semiclassics: Classical Models For Tunneling Using Complex Trajectories, Max Edward Meynig
Senior Projects Spring 2017
This project is inspired by the idea that black holes could explode due to a quantum process somewhat analogous to quantum mechanical tunneling. This idea was presented in recent research that also proposed that semiclassical physics could be used to investigate the so called black hole fireworks. Semiclassical physics connects quantum and classical physics and because of this it is a powerful tool for investigating gravity where the classical theory is known but there is no complete quantum theory. Unfortunately, the traditional tools in semiclassics that are needed fail to treat tunneling. However, if classical mechanics is extended to complex …