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AN ANALYTICAL SCHEME FOR THE ANALYSIS OF MULTI-HUMP SOLITONS

ZENONAS NAVICKAS

Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania

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TADAS TELKSNYS

http://orcid.org/0000-0002-4975-8467

Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania

E-mail Address: [email protected]

Corresponding author.

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INGA TIMOFEJEVA

Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania

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MINVYDAS RAGULSKIS

Center for Nonlinear Systems, Kaunas University of Technology, Studentu 50 147, Kaunas LT-51368, Lithuania

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, and

ROMAS MARCINKEVICIUS

Department of Software Engineering, Kaunas University of Technology, Studentu 50 415, Kaunas LT-51368, Lithuania

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https://doi.org/10.1142/S0219525918500273Cited by:3 (Source: Crossref)

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:

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