AN ANALYTICAL SCHEME FOR THE ANALYSIS OF MULTI-HUMP SOLITONS

Zenonas Navickas, Tadas Telksnys, Inga Timofejeva, Minvydas Ragulskis and Romas Marcinkevicius
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Zenonas Navickas: Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania
Tadas Telksnys: Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania
Inga Timofejeva: Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania
Minvydas Ragulskis: Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania
Romas Marcinkevicius: Department of Software Engineering, Kaunas University of Technology, Studentu 50 415, Kaunas LT-51368, Lithuania

Advances in Complex Systems (ACS), 2019, vol. 22, issue 01, 1-17

Abstract: An analytical framework for the analysis of multi-hump solitons is proposed in this paper. Multi-hump solitons are defined by imposing special symmetry conditions on the classical soliton expression. Such soliton solutions have a wide range of potential applications in the field of optical communications. The proposed algebras of soliton solutions enable a new look at the propagation dynamics of complex nonlinear wave phenomena. The efficiency of the presented analytical scheme is demonstrated using a system of Riccati differential equations with diffusive and multiplicative coupling.

Keywords: Soliton solution; multi-hump soliton; Riccati equation; analytical solution; closed-form solution (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0219525918500273

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