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- Title
Bifurcations and Exact Solutions of Optical Soliton Models in Fifth-Order Weakly Nonlocal Nonlinear Media.
- Authors
Wu, Rong; Chen, Guanrong; Li, Jibin
- Abstract
For the optical soliton model in fifth-order weakly nonlocal nonlinear media, to find its exact explicit solutions, the corresponding traveling wave system is formulated as a planar dynamical system with a singular straight line. Then, by using techniques from dynamical systems and singular traveling wave theory developed by [Li & Chen, 2007] to analyze the planar system and find the corresponding phase portraits, the dynamical behavior of the amplitude component can be assessed. Under different parameter conditions, exact explicit solitary wave solutions, periodic wave solutions, kink, and anti-kink wave solutions, compacton solutions, as well as peakons and periodic peakons are found with precise formulations.
- Subjects
DYNAMICAL systems; NONLINEAR wave equations; NONLINEAR evolution equations
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2024, Vol 34, Issue 5, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127424500640