Pseudorecurrence and chaos of cubic-quintic nonlinear Schroedinger equation
Journal Article
·
· International Journal of Modern Physics C
- National Univ. of Singapore (Singapore)
Recurrence, pseudorecurrence, and chaotic solutions for a continuum Hamiltonian system in which there exist spatial patterns of solitary wave structures are investigated using the nonlinear Schrodinger equation (NSE) with cubic and quintic terms. The theoretical analyses indicate that there may exist Birkhoff`s recurrence for the arbitrary parameter values. The numerical experiments show that there may be Fermi-Pasta-Ulam (FPU) recurrence, pseudorecurrence, and chaos when different initial conditions are chosen. The fact that the system energy is effectively shared by finite Fourier modes suggests that it may be possible to describe the continuum system in terms of some effective degrees of freedom.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 459116
- Journal Information:
- International Journal of Modern Physics C, Vol. 7, Issue 6; Other Information: PBD: Dec 1996
- Country of Publication:
- United States
- Language:
- English
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