Articles with "cubic nonlinear" as a keyword



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Chirped self-similar waves for quadratic–cubic nonlinear Schrödinger equation

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Published in 2017 at "Annals of Physics"

DOI: 10.1016/j.aop.2017.10.007

Abstract: Abstract We have constructed analytical self-similar wave solutions for quadratic–cubic Nonlinear Schrodinger equation (QC-NLSE) by means of similarity transformation method. Then, we have investigated the role of chirping on these self-similar waves as they propagate… read more here.

Keywords: self similar; chirped self; quadratic cubic; similar waves ... See more keywords
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Sharp criteria of blow-up solutions for the cubic nonlinear beam equation

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Published in 2019 at "Boundary Value Problems"

DOI: 10.1186/s13661-019-1149-5

Abstract: In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the H2$H^{2}$ energy-critical and H2$H^{2}$ sub-critical cases, respectively. read more here.

Keywords: sharp criteria; criteria blow; nonlinear beam; cubic nonlinear ... See more keywords