A modulation solution of the signalling problem for the equation of self-induced transperency in the Sine-Gordon limit

Antonmaria Minzoni, Noel Smyth

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

In the present ork, modulation theory is used to study the signalling problem for the equations of self-induced transperency in the Sine-Gordon limit. In the case in which the signal switches on instantaneously to a finite value, the modulation solution is found to be a modulated kink train. To construct this train, the modulation theory of Forest and Mclaughlin for the Sine-Gordon equation is used, and the solution is found to be the analogue of the Gurevich-Pitaevskii solution for the Korteweg-de Vries equation. The modulation theory solution is compared with a full numerical solution of the Sine-Gordon equation, and good agreement is found.
Original languageEnglish
Pages (from-to)1-10
Number of pages11
JournalMethods and Applications of Analysis
Volume4
Issue number1
Publication statusPublished - 1997

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