Title :
Numerical Solutions of the Nonlinear Schrödinger Equation with a Square Root Nonlinearity
Author :
Phibanchon, Sarun ; Allen, Michael A.
Author_Institution :
Fac. of Sci. & Arts, Burapha Univ., Chanthaburi, Thailand
Abstract :
The time evolution of bright solitons in an ion-acoustic plasma with non-isothermal electrons are determined numerically by using the Crank-Nicolson scheme. Head-on collisions between two solitons with the same and different amplitudes are investigated. Both types of collision are found to be inelastic -- the amplitudes and speeds of the outgoing solitons are a little different from those of the incoming solitons.
Keywords :
Schrodinger equation; integral equations; nonlinear equations; Crank-Nicolson scheme; ion-acoustic plasma; non-isothermal electrons; nonlinear Schrδdinger equation; square root nonlinearity; time evolution; Art; Difference equations; Electron traps; Maxwell equations; Nonlinear equations; Nuclear and plasma sciences; Physics computing; Plasma waves; Road accidents; Solitons; finite differences; ion-acoustic waves; nonlinear Schrodinger equation; plasmas;
Conference_Titel :
Computational Science and Its Applications (ICCSA), 2010 International Conference on
Conference_Location :
Fukuoka
Print_ISBN :
978-0-7695-3999-7
Electronic_ISBN :
978-1-4244-6462-3
DOI :
10.1109/ICCSA.2010.68
