Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear SchrLdinger-Like Equations
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摘要: 研究了几类(2+1)维非线性Schrdinger型方程同宿轨道的问题.利用Hirota双线性算子方法,通过给出的相关变换, 得到了包括(2+1)维的长短波相互作用方程, 广义Zakharov方程,Mel'nikov方程和g-Schrdinger方程的同宿轨道解的显式解析表达式,从而讨论了这些方程的同宿轨道.
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关键词:
- 非线性Schrdinger型方程 /
- 同宿轨道 /
- Hirota双线性方法
Abstract: Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. Analytic expressions of homoclinic orbits for some(2+1)-dimensional nonlinear SchrLdinge-rlike equations,which include the long wave-short wave resonance interaction equation,generalization of the Zakharov equation,Mel.nikov equation and g-SchrLdinger equation,are constructed based on Hirota's bilinear method.-
Key words:
- SchrLdinge-rlike equation /
- homoclinic orbit /
- bilinear method
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