Embedded solitons and conservation law with X(2) and X(3) nonlinear susceptibilities

M. Savescu; A. H. Kara; S. Kumar; E. V. Krishnan; M. Zaka Ullah; S. P. Moshokoa; Qin Zhou; A. Biswase

doi:10.12693/APhysPolA.131.297

Embedded solitons and conservation law with _X(2) and _X(3) nonlinear susceptibilities

M. Savescu, A. H. Kara, S. Kumar, E. V. Krishnan, M. Zaka Ullah, S. P. Moshokoa, Qin Zhou, A. Biswase

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

This paper studies embedded solitons that are confined to continuous spectrum, with ^X₂and^X₃) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.

Original language	English
Pages (from-to)	297-303
Number of pages	7
Journal	Acta Physica Polonica A
Volume	131
Issue number	2
DOIs	https://doi.org/10.12693/APhysPolA.131.297
Publication status	Published - Feb 2017

Keywords

Conservation laws
Solitons
and) nonlinearities

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.12693/APhysPolA.131.297

Cite this

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title = "Embedded solitons and conservation law with X(2) and X(3) nonlinear susceptibilities",

abstract = "This paper studies embedded solitons that are confined to continuous spectrum, with X2andX3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.",

keywords = "Conservation laws, Solitons, and) nonlinearities",

author = "M. Savescu and Kara, {A. H.} and S. Kumar and Krishnan, {E. V.} and Ullah, {M. Zaka} and Moshokoa, {S. P.} and Qin Zhou and A. Biswase",

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T1 - Embedded solitons and conservation law with X(2) and X(3) nonlinear susceptibilities

AU - Savescu, M.

AU - Kara, A. H.

AU - Kumar, S.

AU - Krishnan, E. V.

AU - Ullah, M. Zaka

AU - Moshokoa, S. P.

AU - Zhou, Qin

AU - Biswase, A.

PY - 2017/2

Y1 - 2017/2

N2 - This paper studies embedded solitons that are confined to continuous spectrum, with X2andX3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.

AB - This paper studies embedded solitons that are confined to continuous spectrum, with X2andX3) nonlinear susceptibilities. Bright and singular soliton solutions are obtained by the method of undetermined coefficients. Subsequently, the Lie symmetry analysis and mapping method retrieves additional solutions to the model such as shock waves, singular solitons, cnoidal waves, and several others. Finally, a conservation law for this model is secured through the Lie symmetry analysis.

KW - Conservation laws

KW - Solitons

KW - and) nonlinearities

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EP - 303

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