The generalized short pulse equation is a non-slowly-varying envelope approximation model that describes the physics of few-cycle-pulse optical solitons. This is a nonlinear evolution equation. In this paper, we prove the wellposedness of the Cauchy problem associated with this equation within a class of discontinuous solutions.
Discontinuous solutions for the generalized short pulse equation / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: EVOLUTION EQUATIONS AND CONTROL THEORY. - ISSN 2163-2480. - ELETTRONICO. - 8:4(2019), pp. 737-753. [10.3934/eect.2019036]
Discontinuous solutions for the generalized short pulse equation
Giuseppe Maria Coclite
;
2019-01-01
Abstract
The generalized short pulse equation is a non-slowly-varying envelope approximation model that describes the physics of few-cycle-pulse optical solitons. This is a nonlinear evolution equation. In this paper, we prove the wellposedness of the Cauchy problem associated with this equation within a class of discontinuous solutions.File in questo prodotto:
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