Optical solitons and conservation laws of Kudryashov's equation using undetermined coefficients

Anjan Biswas; José Vega-Guzmán; Mehmet Ekici; Qin Zhou; Houria Triki; Ali Saleh Alshomrani; Milivoj R. Belic

doi:10.1016/j.ijleo.2019.163417

Optical solitons and conservation laws of Kudryashov's equation using undetermined coefficients

Anjan Biswas
, José Vega-Guzmán
, Mehmet Ekici^*
, Qin Zhou
, Houria Triki
, Ali Saleh Alshomrani
, Milivoj R. Belic

^*Corresponding author for this work

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

46 Citations (Scopus)

Abstract

Optical soliton solutions to the newly proposed Kudryashov's equation are obtained. The method of undetermined coefficients secured bright, dark and singular soliton solutions to the model. The conservation laws are also listed that are written in terms of Gauss’ hypergeometric functions. Several parameter restrictions, that naturally emerged during the derivation process, are also enumerated.

Original language	English
Article number	163417
Journal	Optik
Volume	202
DOIs	https://doi.org/10.1016/j.ijleo.2019.163417
Publication status	Published - Feb 2020
Externally published	Yes

Keywords

060.2310
060.4510
060.5530
190.3270
190.4370
Conservation laws
Kudryashov's equation
Solitons

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10.1016/j.ijleo.2019.163417

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title = "Optical solitons and conservation laws of Kudryashov's equation using undetermined coefficients",

abstract = "Optical soliton solutions to the newly proposed Kudryashov's equation are obtained. The method of undetermined coefficients secured bright, dark and singular soliton solutions to the model. The conservation laws are also listed that are written in terms of Gauss{\textquoteright} hypergeometric functions. Several parameter restrictions, that naturally emerged during the derivation process, are also enumerated.",

keywords = "060.2310, 060.4510, 060.5530, 190.3270, 190.4370, Conservation laws, Kudryashov's equation, Solitons",

author = "Anjan Biswas and Jos{\'e} Vega-Guzm{\'a}n and Mehmet Ekici and Qin Zhou and Houria Triki and Alshomrani, \{Ali Saleh\} and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier GmbH",

year = "2020",

month = feb,

doi = "10.1016/j.ijleo.2019.163417",

language = "English",

volume = "202",

journal = "Optik",

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T1 - Optical solitons and conservation laws of Kudryashov's equation using undetermined coefficients

AU - Biswas, Anjan

AU - Vega-Guzmán, José

AU - Ekici, Mehmet

AU - Zhou, Qin

AU - Triki, Houria

AU - Alshomrani, Ali Saleh

AU - Belic, Milivoj R.

PY - 2020/2

Y1 - 2020/2

N2 - Optical soliton solutions to the newly proposed Kudryashov's equation are obtained. The method of undetermined coefficients secured bright, dark and singular soliton solutions to the model. The conservation laws are also listed that are written in terms of Gauss’ hypergeometric functions. Several parameter restrictions, that naturally emerged during the derivation process, are also enumerated.

AB - Optical soliton solutions to the newly proposed Kudryashov's equation are obtained. The method of undetermined coefficients secured bright, dark and singular soliton solutions to the model. The conservation laws are also listed that are written in terms of Gauss’ hypergeometric functions. Several parameter restrictions, that naturally emerged during the derivation process, are also enumerated.

KW - 060.2310

KW - 060.4510

KW - 060.5530

KW - 190.3270

KW - 190.4370

KW - Conservation laws

KW - Kudryashov's equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/85073825680

U2 - 10.1016/j.ijleo.2019.163417

DO - 10.1016/j.ijleo.2019.163417

M3 - Article

AN - SCOPUS:85073825680

SN - 0030-4026

VL - 202

JO - Optik

JF - Optik

M1 - 163417

ER -

Optical solitons and conservation laws of Kudryashov's equation using undetermined coefficients

Abstract

Keywords

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