Localized Nonlinear Waves in Nonlinear Schr¨odinger Equation with Nonlinearities Modulated in Space and Time
2011 ◽
Vol 66
(12)
◽
pp. 728-734
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Keyword(s):
The One
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In this paper, the generalized sub-equation method is extended to investigate localized nonlinear waves of the one-dimensional nonlinear Schrödinger equation (NLSE) with potentials and nonlinearities depending on time and on spatial coordinates. With the help of symbolic computation, three families of analytical solutions of this NLS-type equation are presented. Based on these solutions, periodically and quasiperiodically oscillating solitons (dark and bright) and moving solitons are observed. Some implications to Bose-Einstein condensates are also discussed
1973 ◽
Vol 9
(5)
◽
pp. 1378-1384
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Keyword(s):
1997 ◽
Vol 26
(3)
◽
pp. 233-247
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Keyword(s):
2005 ◽
Vol 123
(6)
◽
pp. 064901
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2008 ◽
Vol 35
(9)
◽
pp. 271-275
Keyword(s):