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Optical solitons for Triki-Biswas equation by two analytic approaches

Aliyu Isa Aliyu, Ali Saleh Alshomrani, Dumitru Bǎleanu

2020AIMS Mathematics26 citationsDOIOpen Access PDF

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.

Topics & Concepts

Envelope (radar)OdeBernoulli's principleMathematicsSolitonPhysicsApplied mathematicsMathematical analysisMathematical physicsNonlinear systemQuantum mechanicsComputer scienceTelecommunicationsRadarThermodynamicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models