Hirota bilinearization of coupled higher-order nonlinear Schrödinger equation
✍ Scribed by Sudipta Nandy; Debojit Sarma; Abhijit Barthakur; Abhijit Borah
- Book ID
- 108096998
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 160 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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By considering the third order dispersion, self-steepening and stimulated Raman scattering effects, we analyse the dark soliton propagation in N-coupled higher order nonlinear Schro ¨dinger equations. Using Painleve ´analysis, we prove that this system is completely integrable. The result is confirm
## Abstract We are interested in finding the sharp regularity with respect to the time variable of the coefficients of a Schrödinger type operator in order to have a well‐posed Cauchy Problem in __H__^∞^. We consider both the cases of the first derivative that breaks down at a point __t__~0~ and of