Transverse instability of soliton solutions to nonlinear Schrödinger equations
1979 ◽
Vol 21
(2)
◽
pp. 259-266
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Keyword(s):
An inverstigation is made of the transverse instability of plane soliton solutions of the nonlinear Schrödinger equation, including the case of an exponential nonlinearity. The analysis is based on a variational method, where specific trial functions are applied for the perturbations. Explicit expressions for the growth rates are given, showing good agreement with numerical results.
2012 ◽
Vol 53
(10)
◽
pp. 103704
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2021 ◽
Vol 209
(2)
◽
pp. 1552-1578
2008 ◽
Vol 2008
◽
pp. 1-14
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2018 ◽
Vol 58
(11)
◽
pp. 1856-1864
1993 ◽
Vol 50
(3)
◽
pp. 457-476
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