On the Gaussian traveling wave solution to a special kind of Schrödinger equation with logarithmic nonlinearity
Keyword(s):
We present the complete analysis of traveling wave solutions to a special kind of nonlinear Schrödinger equation with logarithmic nonlinearity, and obtain all traveling wave solutions. As a result, we prove this equation does not have any Gaussian traveling wave solution. However, by modifying this equation into another form, we can actually obtain a Gaussian traveling wave solution, which verifies the conclusion that existing Gaussian traveling solution requires two restrictions: (1) balance between the dispersion terms and logarithmic nonlinearity; and (2) balance of the parameters.
2019 ◽
Vol 42
(18)
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pp. 7210-7221
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1989 ◽
Vol 6
(9)
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pp. 1477
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2005 ◽
Vol 44
(5)
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pp. 799-801
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2021 ◽
Vol 1
(1)
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pp. 24-31
2021 ◽