Title :
FPU Recurrence in the KdV-Type Equations
Author :
Chang, Yung-Ming ; Yuan, Juan-Ming ; Chiang, Chin-Chieh
Author_Institution :
Dept. of Math., Nat. Taitung Univ.
fDate :
Aug. 30 2006-Sept. 1 2006
Abstract :
This paper is concerned with the study of recurrence phenomena in nonlinear dispersive wave equations using numerical simulation. The generalized KdV-equation, ut+upux+epsiuxxx=0, is investigated. The numerical evidence presented here shows that even non-integrable equations exhibit recurrence phenomena. We also determine an approximate relationship between recurrence time and epsi
Keywords :
Korteweg-de Vries equation; dispersion (wave); nonlinear differential equations; numerical analysis; KdV-type equation; Korteweg-de Vries equation; nonintegrable equation; nonlinear dispersive wave equation; numerical simulation; recurrence phenomena; Computer science; Difference equations; Dispersion; Lattices; Mathematics; Nonlinear equations; Numerical simulation; Optical reflection; Partial differential equations; Springs;
Conference_Titel :
Innovative Computing, Information and Control, 2006. ICICIC '06. First International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7695-2616-0
DOI :
10.1109/ICICIC.2006.284
