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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…
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Keywords:
self similar;
chirped self;
quadratic cubic;
similar waves ... See more keywords
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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.
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Keywords:
sharp criteria;
criteria blow;
nonlinear beam;
cubic nonlinear ... See more keywords