P. Guha, “Geometry of Chen–Lee–Liu type derivative nonlinear Schrödinger flow”, Regul. Chaotic Dyn., 8:2 (2003), 213

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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 2, Pages 213–224
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000238 (Mi rcd778)

This article is cited in 8 scientific papers (total in 8 papers)

Geometry of Chen–Lee–Liu type derivative nonlinear Schrödinger flow

P. Guha^ab

^a S. N. Bose National Centre for Basic Sciences, JD Block, Sector-3, Salt Lake, Calcutta - 700098, INDIA
^b Department of Mathematics, University of Colorado at Colorado Springs, Colorado Springs, CO 80933-7150. USA

Citations (8)

DOI: https://doi.org/10.1070/RD2003v008n02ABEH000238

Abstract: In this paper we derive the Lie algebraic formulation of the Chen–Lee–Liu (CLL) type generalization of derivative nonlinear Schrödinger equation. We also explore its Lie algebraic connection to another derivative nonlinear Schrödinger equation, the Kaup–Newell system. Finally it is shown that the CLL equation is related to the Dodd–Caudrey–Gibbon equation after averaging over the carrier oscillation.

Received: 21.09.2002

Bibliographic databases:

Document Type: Article

MSC: 37K10, 35Q58

Language: English

Citation: P. Guha, “Geometry of Chen–Lee–Liu type derivative nonlinear Schrödinger flow”, Regul. Chaotic Dyn., 8:2 (2003), 213–224

Citation in format AMSBIB

\Bibitem{Guh03}

\by P.~Guha

\paper Geometry of Chen–Lee–Liu type derivative nonlinear Schr\"{o}dinger flow

\jour Regul. Chaotic Dyn.

\yr 2003

\vol 8

\issue 2

\pages 213--224

\mathnet{http://mi.mathnet.ru/rcd778}

\crossref{https://doi.org/10.1070/RD2003v008n02ABEH000238}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988861}

\zmath{https://zbmath.org/?q=an:1112.37325}

\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..213G}

Linking options:

https://www.mathnet.ru/eng/rcd778

https://www.mathnet.ru/eng/rcd/v8/i2/p213

This publication is cited in the following 8 articles:

Muhammad Amin Sadiq Murad, Faraidun Kadir Hamasalh, Hajar Farhan Ismael, “Time-fractional Chen–Lee–Liu equation: Various optical solutions arising in optical fiber”, J. Nonlinear Optic. Phys. Mat., 33:06 (2024)
Younis M., Younas U., Bilal M., Rehman S.U., Rizvi S.T.R., “Investigation of Optical Solitons With Chen-Lee-Liu Equation of Monomode Fibers By Five Free Parameters”, Indian J. Phys., 96:5 (2022), 1539–1546
Depelair B., Gambo B., Nsangou M., “Effects of Fractional Temporal Evolution on Chirped Soliton Solutions of the Chen-Lee-Liu Equation”, Phys. Scr., 96:10 (2021), 105215
Bilal M., Hu W., Ren J., “Different Wave Structures to the Chen-Lee-Liu Equation of Monomode Fibers and Its Modulation Instability Analysis”, Eur. Phys. J. Plus, 136:4 (2021), 385
Hussain A., Jhangeer A., Tahir S., Chu Yu.-M., Khan I., Nisar K.S., “Dynamical Behavior of Fractional Chen-Lee-Liu Equation in Optical Fibers With Beta Derivatives”, Results Phys., 18 (2020), 103208
Bansal A., Biswas A., Zhou Q., Arshed S., Alzahrani A.K., Belic M.R., “Optical Solitons With Chen-Lee-Liu Equation By Lie Symmetry”, Phys. Lett. A, 384:10 (2020), 126202
Kudryashov N.A., “General Solution of the Traveling Wave Reduction For the Perturbed Chen-Lee-Liu Equation”, Optik, 186 (2019), 339–349
Xiao Wei Sun, You De Wang, “Geometric Schrödinger-Airy flows on Kähler manifolds”, Acta. Math. Sin.-English Ser., 29:2 (2013), 209

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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