Optical solitons for Triki-Biswas equation by two analytic approaches

Aliyu Isa Aliyu; Ali S. Alshomrani; Mustafa Inc; Dumitru Baleanu; Aliyu Isa Aliyu; Ali S. Alshomrani; Mustafa Inc; Dumitru Baleanu

doi:10.3934/math.2020069

AIMS Mathematics

2020, Volume 5, Issue 2: 1001-1010. doi: 10.3934/math.2020069

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Optical solitons for Triki-Biswas equation by two analytic approaches

1.
Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China
2.
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3.
Department of Mathematics, Firat University, 23119 Elazig, Turkey
4.
Department of Mathematics, Cankaya University, Ankara, Turkey
5.
Institute of Space Sciences, Magurele, Romania

Received: 09 July 2019 Accepted: 10 December 2019 Published: 09 January 2020
MSC : 35C08, 35C15, 32W50

The present study is devoted to using two analytic approaches to study the Triki-Biswas equation (TBE). The TBE model plays a vital role in propagation of short pulses of width around regions of sub-10 fs in optical. The analytic approaches used are the sine-Gordon expansion (SGEM) and the Riccatti Bernoulli sub-ODE (RBSO) methods. Chirped kink-type, bright envelope and singular solitons are formally derived.
- TBE,
- Sine-Gordon expansion method,
- Riccatti Bernoulli sub-ODE method,
- optical soliton,
- chirped kink-type,
- bright solitons
Citation: Aliyu Isa Aliyu, Ali S. Alshomrani, Mustafa Inc, Dumitru Baleanu. Optical solitons for Triki-Biswas equation by two analytic approaches[J]. AIMS Mathematics, 2020, 5(2): 1001-1010. doi: 10.3934/math.2020069

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Abstract

The present study is devoted to using two analytic approaches to study the Triki-Biswas equation (TBE). The TBE model plays a vital role in propagation of short pulses of width around regions of sub-10 fs in optical. The analytic approaches used are the sine-Gordon expansion (SGEM) and the Riccatti Bernoulli sub-ODE (RBSO) methods. Chirped kink-type, bright envelope and singular solitons are formally derived.

References

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