Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis

S. Kumar; S. Malik; A. Biswas; Q. Zhou; L. Moraru; A. K. Alzahrani; M. R. Belic

doi:10.3103/S1541308X20030127

Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis

S. Kumar
, S. Malik
, A. Biswas^*
, Q. Zhou
, L. Moraru
, A. K. Alzahrani
, M. R. Belic

^*Corresponding author for this work

Central University of Punjab, Bathinda
Alabama A and M University
King Abdulaziz University
Moscow Engineering Physics Institute
Tshwane University of Technology
Wuhan Donghu University
Dunarea de Jos University of Galati
Texas A&M University at Qatar

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

58 Citations (Scopus)

Abstract

Abstract: In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.

Original language	English
Pages (from-to)	299-304
Number of pages	6
Journal	Physics of Wave Phenomena
Volume	28
Issue number	3
DOIs	https://doi.org/10.3103/S1541308X20030127
Publication status	Published - 1 Jul 2020
Externally published	Yes

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title = "Optical Solitons with Kudryashov{\textquoteright}s Equation by Lie Symmetry Analysis",

abstract = "Abstract: In this work, Kudryashov{\textquoteright}s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.",

author = "S. Kumar and S. Malik and A. Biswas and Q. Zhou and L. Moraru and Alzahrani, \{A. K.\} and Belic, \{M. R.\}",

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AU - Kumar, S.

AU - Malik, S.

AU - Biswas, A.

AU - Zhou, Q.

AU - Moraru, L.

AU - Alzahrani, A. K.

AU - Belic, M. R.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - Abstract: In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.

AB - Abstract: In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.

UR - https://www.scopus.com/pages/publications/85093122455

U2 - 10.3103/S1541308X20030127

DO - 10.3103/S1541308X20030127

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SP - 299

EP - 304

JO - Physics of Wave Phenomena

JF - Physics of Wave Phenomena

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ER -

Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis

Abstract

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