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• W1473345558 abstract "In this paper, a simple and constructive method is presented to find the generalized perturbation (n,M)-fold Darboux transformations (DTs) of the modified nonlinear Schrodinger (MNLS) equation in terms of fractional forms of determinants. In particular, we apply the generalized perturbation (1,N-1)-fold DTs to find its explicit multi-rogue-wave solutions. The wave structures of these rogue-wave solutions of the MNLS equation are discussed in detail for different parameters, which display abundant interesting wave structures, including the triangle and pentagon, etc. and may be useful to study the physical mechanism of multirogue waves in optics. The dynamical behaviors of these multi-rogue-wave solutions are illustrated using numerical simulations. The same Darboux matrix can also be used to investigate the Gerjikov-Ivanov equation such that its multi-rogue-wave solutions and their wave structures are also found. The method can also be extended to find multi-rogue-wave solutions of other nonlinear integrable equations." @default.
• W1473345558 created "2016-06-24" @default.
• W1473345558 creator A5007069201 @default.
• W1473345558 creator A5010419824 @default.
• W1473345558 creator A5016079748 @default.
• W1473345558 date "2015-07-22" @default.
• W1473345558 modified "2023-10-14" @default.
• W1473345558 title "Generalized perturbation<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:mi>M</mml:mi><mml:mo>)</mml:mo></mml:math>-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrödinger equation" @default.
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• W1473345558 doi "https://doi.org/10.1103/physreve.92.012917" @default.
• W1473345558 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26274257" @default.
• W1473345558 hasPublicationYear "2015" @default.
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