The Ostrosky–Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth, for the evolution of nonlinear propagation of optical pulses of a few oscillations duration in dielectric media, and for the evolution of the propagation of ultra-short light pulses in silica optical fibers. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.
H^2-solutions for an Ostrosky–Hunter type equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - STAMPA. - 104:5(2024), pp. 854-879. [10.1080/00036811.2024.2384539]
H^2-solutions for an Ostrosky–Hunter type equation
Coclite, Giuseppe Maria
;
2024-01-01
Abstract
The Ostrosky–Hunter equation provides a model for small-amplitude long waves in a rotating fluid of finite depth, for the evolution of nonlinear propagation of optical pulses of a few oscillations duration in dielectric media, and for the evolution of the propagation of ultra-short light pulses in silica optical fibers. In this paper, we prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
