@article{(Open Science Index):https://publications.waset.org/pdf/16102,
	  title     = {Statistical Description of Wave Interactions in 1D Defect Turbulence},
	  author    = { Yusuke Uchiyama and  Hidetoshi Konno},
	  country	= {},
	  institution	= {},
	  abstract     = { We have investigated statistical properties of the defect turbulence in 1D CGLE wherein many body interaction is involved between local depressing wave (LDW) and local standing wave (LSW). It is shown that the counting number fluctuation of LDW is subject to the sub-Poisson statistics (SUBP). The physical origin of the SUBP can be ascribed to pair extinction of LDWs based on the master equation approach. It is also shown that the probability density function (pdf) of inter-LDW distance can be identified by the hyper gamma distribution. Assuming a superstatistics of the exponential distribution (Poisson configuration), a plausible explanation is given. It is shown further that the pdf of amplitude of LDW has a fattail. The underlying mechanism of its fluctuation is examined by introducing a generalized fractional Poisson configuration.},
	    journal   = {International Journal of Physical and Mathematical Sciences},
	  volume    = {7},
	  number    = {8},
	  year      = {2013},
	  pages     = {1242 - 1247},
	  ee        = {https://publications.waset.org/pdf/16102},
	  url   	= {https://publications.waset.org/vol/80},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 80, 2013},
	}