Title :
Computing Solution of the Nonlinear Schodinger Equation with Mixed Dispersion by Turing Machines
Author :
Lu, Dianchen ; Zheng, Rui ; Miao, Renxiang
Author_Institution :
Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China
Abstract :
We investigate the computability of the solution operators of the initial value problem for the fourth-order nonlinear SchA¿¶dinger equation. The framework of our research is the TTE (Type-2 Theory Effectivity) which is founded by Weihrauch based on the generalized Turing machines.
Keywords :
Turing machines; computability; initial value problems; nonlinear equations; quantum computing; type theory; initial value problem; mixed dispersion; nonlinear Schodinger equation; solution operators computability; turing machines; type-2 theory effectivity; Computational modeling; Differential equations; Dispersion; Information science; Magnetic materials; Mathematics; Nonlinear equations; Solitons; Turing machines;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.418
