2010
DOI: 10.1364/ol.35.001437
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Abstract: We derive analytical 3D spatiotemporal similaritons and solitons of the generalized (3+1)-dimensional nonlinear Schrödinger equation with distributed coefficients.

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Cited by 163 publications
(66 citation statements)
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“…We analyze the controllable behaviors of PS solution (6) in the following periodic distributed amplification system with the periodic varying TOD parameter [32] …”
Section: Controllable Behaviors Of Ps With Two Peaksmentioning
confidence: 99%
“…We analyze the controllable behaviors of PS solution (6) in the following periodic distributed amplification system with the periodic varying TOD parameter [32] …”
Section: Controllable Behaviors Of Ps With Two Peaksmentioning
confidence: 99%
“…The TOD parameter c(z) influences the form of the phase and the effective propagation distance. Also note that the mapping transformation (3) has been applied to the vcNLSE in [37,38]; however, its application to the vcHNLSE is relatively less reported. Compared with the corresponding solutions in [39], a control parameter f (z) is added in our solutions (10) and (13), which make our results more coincident with the real situation.…”
Section: Reduction Proceduresmentioning
confidence: 99%
“…Nowadays, some modern analytic methods are available for analyzing nonlinear evolution-type equations. For instance, tanh function method [20], homotopy perturbation method [21], variational iteration method [22], first integral method [23], Expfunction method [24], multiple Exp-function method [25], linear superposition principle [26], Wronskian technique [27], the Fexpansion method [28], the Jacobi elliptic-function method [29], the similarity transformation method [30], the ansätze method [31]. On the other hand, since it was first enunciated in 2008 by 0375-9601/$ -see front matter © 2011 Elsevier B.V. All rights reserved.…”
Section: Introductionmentioning
confidence: 99%