Rogue waves and solitons of the coherently-coupled nonlinear Schrödinger equations with the positive coherent coupling
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DOI: 10.1088/1402-4896/aacfc6
Abstract: A set of the coherently-coupled nonlinear Schrodinger equations with the positive coherent coupling terms, which are related to the optical fiber communication, are studied through the binary Darboux transformation with the dimensional reduction. Formalisms of… read more here.
Keywords: coherently coupled; rogue; coherent coupling; positive coherent ... See more keywords
Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1627-6
Abstract: In this paper, by using the properties of the Green function, u0$u_{0}$-positive operator and Gelfand’s formula, some properties of the first eigenvalue corresponding to the relevant operator are obtained. Based on these properties, the fixed… read more here.
Keywords: positive solutions; singular dirichlet; type boundary; dirichlet type ... See more keywords