AN ANALYTICAL SCHEME FOR THE ANALYSIS OF MULTI-HUMP SOLITONS

Author:

NAVICKAS ZENONAS1,TELKSNYS TADAS1ORCID,TIMOFEJEVA INGA1,RAGULSKIS MINVYDAS1,MARCINKEVICIUS ROMAS2

Affiliation:

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Control and Systems Engineering

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