会议论文详细信息
All-Russian conference on Nonlinear Waves: Theory and New Applications | |
Synchronization of traveling waves in a dispersive system of weakly coupled equations | |
Makridin, Z.V.^1,2 ; Makarenko, N.I.^1,2 | |
Lavrentyev Institute of Hydrodynamics, Novosibirsk | |
630090, Russia^1 | |
Novosibirsk State University, Novosibirsk | |
630090, Russia^2 | |
关键词: Bifurcation equations; Coupled differential equations; Coupled equation; Dispersive media; Dispersive systems; Group symmetries; Nonlinear perturbations; Periodic solution; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012028/pdf DOI : 10.1088/1742-6596/722/1/012028 |
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来源: IOP | |
【 摘 要 】
The system of weakly coupled differential equations describing traveling waves in dispersive media is considered. The Lyapunov - Schmidt construction is used to study the branching of cnoidal-type periodic solutions. The analysis of bifurcation equations uses the group symmetry and cosymmetry of original equations. Sufficient condition for existence of the phase-shifted modes of cnoidal waves is formulated in terms of the Pontryagin's function determined by the nonlinear perturbation terms.
【 预 览 】
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Synchronization of traveling waves in a dispersive system of weakly coupled equations | 768KB | download |