Nonlinear dispersion relation for nonlinear Schrödinger equation
1988 ◽
Vol 39
(2)
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pp. 297-302
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Keyword(s):
By using the average-Lagrangian method (average variational principle), a nonlinear dispersion relation has been derived for the cubic nonlinear Schrödinger equation. It is found that the size of the instability region in wavenumber space decreases with increasing field amplitude in comparison with the linear theory.
2013 ◽
Vol 33
(5)
◽
pp. 1905-1926
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2015 ◽
Vol 35
(8)
◽
pp. 3533-3567
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2008 ◽
Vol 37
(4)
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pp. 861-870
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2008 ◽
Vol 10
(12)
◽
pp. 123020
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2016 ◽
Vol 41
(3)
◽
pp. 1013-1018
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2018 ◽
Vol 115
◽
pp. 19-29
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