Article ID Journal Published Year Pages File Type
843496 Nonlinear Analysis: Theory, Methods & Applications 2009 5 Pages PDF
Abstract
In this paper, the generalized nonlinear Schrödinger equation with nonlinear dispersion iut+a(u|u|n−1)xx+bu|u|m−1=0 (called the GNLS(m,n) equation) is investigated by using the theory of a dynamical system. As a result, we obtain some envelope compacton and solitary pattern solutions of the GNLS(m,n) equation. In addition, we point out the reason for the appearance of the unsmooth solutions.
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Envelope compacton and solitary pattern solutions of a generalized nonlinear Schrödinger equation
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