Optical solitons in (2+1)–Dimensions with Kundu–Mukherjee–Naskar equation by extended trial function scheme

Mehmet Ekici; Abdullah Sonmezoglu; Anjan Biswas; Milivoj R. Belic

doi:10.1016/j.cjph.2018.12.011

Optical solitons in (2+1)–Dimensions with Kundu–Mukherjee–Naskar equation by extended trial function scheme

Mehmet Ekici^*
, Abdullah Sonmezoglu
, Anjan Biswas
, Milivoj R. Belic

^*Corresponding author for this work

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

135 Citations (Scopus)

Abstract

This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended trial function method to recover optical soliton solutions in (2+1)–dimensions. The integration algorithm revealed doubly periodic functions. Upon taking the limiting values of the modulus of ellipticity, bright and singular solitons as well as singular periodic solutions emerge. Additional solutions such as plane waves also fall out of the scheme.

Original language	English
Pages (from-to)	72-77
Number of pages	6
Journal	Chinese Journal of Physics
Volume	57
DOIs	https://doi.org/10.1016/j.cjph.2018.12.011
Publication status	Published - Feb 2019
Externally published	Yes

Keywords

Extended trial function scheme
Kundu–Mukherjee–Naskar equation
Solitons

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10.1016/j.cjph.2018.12.011

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title = "Optical solitons in (2+1)–Dimensions with Kundu–Mukherjee–Naskar equation by extended trial function scheme",

abstract = "This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended trial function method to recover optical soliton solutions in (2+1)–dimensions. The integration algorithm revealed doubly periodic functions. Upon taking the limiting values of the modulus of ellipticity, bright and singular solitons as well as singular periodic solutions emerge. Additional solutions such as plane waves also fall out of the scheme.",

keywords = "Extended trial function scheme, Kundu–Mukherjee–Naskar equation, Solitons",

author = "Mehmet Ekici and Abdullah Sonmezoglu and Anjan Biswas and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2018 The Physical Society of the Republic of China (Taiwan)",

year = "2019",

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doi = "10.1016/j.cjph.2018.12.011",

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AU - Ekici, Mehmet

AU - Sonmezoglu, Abdullah

AU - Biswas, Anjan

AU - Belic, Milivoj R.

PY - 2019/2

Y1 - 2019/2

N2 - This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended trial function method to recover optical soliton solutions in (2+1)–dimensions. The integration algorithm revealed doubly periodic functions. Upon taking the limiting values of the modulus of ellipticity, bright and singular solitons as well as singular periodic solutions emerge. Additional solutions such as plane waves also fall out of the scheme.

AB - This paper addresses Kundu–Mukherjee–Naskar equation by the aid of extended trial function method to recover optical soliton solutions in (2+1)–dimensions. The integration algorithm revealed doubly periodic functions. Upon taking the limiting values of the modulus of ellipticity, bright and singular solitons as well as singular periodic solutions emerge. Additional solutions such as plane waves also fall out of the scheme.

KW - Extended trial function scheme

KW - Kundu–Mukherjee–Naskar equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/85060096033

U2 - 10.1016/j.cjph.2018.12.011

DO - 10.1016/j.cjph.2018.12.011

M3 - Article

AN - SCOPUS:85060096033

SN - 0577-9073

VL - 57

SP - 72

EP - 77

JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

ER -

Optical solitons in (2+1)–Dimensions with Kundu–Mukherjee–Naskar equation by extended trial function scheme

Abstract

Keywords

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