Summary
In this paper we investigate the differential-difference version of the modified Korteweg-de Vries equation withx-dependent coefficients, displaying the characteristic behaviour of the single-soliton solution. The continuum limit of the equation and of the soliton solution is thoroughly discussed.
Riassunto
In questo articolo si studia l’equazione alle differenze finite che è l'analogo discreto dell’equazione di Korteweg-de Vries modificata con coefficienti dipendenti dallax. Si mostra in particolare l’andamento caratteristico della soluzione a un solitone. Infine si discute in dettaglio il limite continuo dell’equazione e della corrispondente soluzione solitonica.
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References
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Bruschi, M., Levi, D. & Ragnisco, O. Discrete version of the modified Korteweg-De Vries equation withx-dependent coefficients. Nuov Cim A 48, 213–226 (1978). https://doi.org/10.1007/BF02799676
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DOI: https://doi.org/10.1007/BF02799676