Bifurcation and nonsmooth dynamics of solitary waves in the generalized long-short wave equations |
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| Authors: | Ranchao Wu Wei Wang |
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| Affiliation: | 1. School of Mathematics, Anhui University, Hefei 230039, China;2. Institute of Applied Mathematics, Academy of Mathematics and System Science of China, Beijing 100028, China |
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| Abstract: | Generalized wave equations, which model the resonant interaction between the long wave and the short wave, are considered. To understand the underlying complex dynamics, the bifurcations and nonsmooth behaviors of solitary waves for this system are investigated by qualitative techniques in dynamical systems. These complex behaviors may serve as mechanisms for fascinating physical phenomena such as solitons, chaos and turbulence. |
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| Keywords: | Long-short wave equations Solitary wave Bifurcation Cusp wave |
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