The fifth-order short pulse equation models the nonlinear propagation of opti-cal pulses of a few oscillations duration in dielectric media. In particular, itmodels the propagation of circularly and elliptically polarized few-cycle solitonsin a Kerr medium. In this paper, we prove the well-posedness of the classicalsolutions for the Cauchy problem associated with this equation.
On classical solutions for the fifth‐order short pulse equation / Coclite, Giuseppe; di Ruvo, Lorenzo. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 44:11(2021), pp. 8814-8837. [10.1002/mma.7309]
On classical solutions for the fifth‐order short pulse equation
Coclite, Giuseppe
;
2021-01-01
Abstract
The fifth-order short pulse equation models the nonlinear propagation of opti-cal pulses of a few oscillations duration in dielectric media. In particular, itmodels the propagation of circularly and elliptically polarized few-cycle solitonsin a Kerr medium. In this paper, we prove the well-posedness of the classicalsolutions for the Cauchy problem associated with this equation.File in questo prodotto:
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