Articles with "undetermined coefficients" as a keyword



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Optical solitons for Lakshmanan–Porsezian–Daniel model with spatio-temporal dispersion using the method of undetermined coefficients

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Published in 2017 at "Optik"

DOI: 10.1016/j.ijleo.2017.06.102

Abstract: Abstract This paper obtains optical soliton solutions to the Lakshmanan–Porsezian–Daniel model. The method of undetermined coefficients is applied to extract these solutions. Bright, dark and singular soliton solutions are obtained and the constraint conditions for… read more here.

Keywords: lakshmanan porsezian; daniel model; method undetermined; undetermined coefficients ... See more keywords
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A Hybrid Difference Scheme under Generalized Approximation Condition in the Space of Undetermined Coefficients

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Published in 2018 at "Computational Mathematics and Mathematical Physics"

DOI: 10.1134/s0965542518080134

Abstract: Construction of difference schemes of high approximation orders for hyperbolic problems is still an important problem. For the construction of grid-characteristic methods, difference schemes were earlier analyzed in the space of undetermined coefficients, where the… read more here.

Keywords: difference; approximation; undetermined coefficients; difference scheme ... See more keywords
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Optical Solitons for the Concatenation Model with Differential Group Delay: Undetermined Coefficients

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Published in 2023 at "Mathematics"

DOI: 10.3390/math11092012

Abstract: In the current study, the concatenation model of birefringent fibers is explored for the first time, and we present optical soliton solutions to the model. The integration algorithm used to achieve this retrieval is the… read more here.

Keywords: optical solitons; solitons concatenation; soliton solutions; undetermined coefficients ... See more keywords