4.6 Article

Generalized Darboux transformation and rogue wave solutions for the higher-order dispersive nonlinear Schrodinger equation

Journal

PHYSICA SCRIPTA
Volume 88, Issue 6, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0031-8949/88/06/065004

Keywords

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Funding

  1. Innovation Fund Project For Graduate Student of Shanghai [JWCXSL1202]
  2. National Natural Science Foundation of China [11071164, 11201302, 11171220]
  3. Innovation Program of Shanghai Municipal Education Commission [12YZ105, 13ZZ118]
  4. Shanghai Leading Academic Discipline Project [XTKX2012]
  5. Foundation of University Young Teachers Training Program of Shanghai Muni-cipal Education Commission [slg11029]
  6. Natural Science Foundation of Shanghai [12ZR1446800]
  7. Science and Technology Commission of Shanghai municipality

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In this paper, rogue wave solutions of the higher-order dispersive nonlinear Schrodinger equation are investigated, which describe the propagation of ultrashort optical pulse in optical fibers. The Nth-order rogue wave solutions with 2N + 1 free complex parameters are constructed via the generalized Darboux transformation method. As applications, rogue waves from the first to the fifth order are calculated according to different combinations of parameters. In particular, rogue waves dynamics and several new spatial-temporal structures are also discussed and exhibited to make a comparison with those of the nonlinear Schrodinger equation.

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