[Faculty] Fwd: [CSRC.COLLOQUIUM] "Solutions to Nonlinear Differential Systems via the Hirota Bilinear Method"

[Jose Castillo]

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DATE:  *Friday, February 15, 2019*




TITLE:


*Solutions to Nonlinear Differential Systems via the Hirota Bilinear Method*




TIME:  *3:30PM*



LOCATION:  *GMCS 314*



SPEAKER/BIO:



*Dr. Luis Cisneros-Ake, Fulbright Visiting Scholar, SDSU, and Professor of
Mathematics, National Polytechnic Institute, Mexico*




ABSTRACT:
The dynamics of weakly nonlinear oscillators is presented as a prototype of
nonlinear evolution systems where the propagation of coherent localized
solutions take place. We show that the continuous medium, corresponding to
the long wave limit, corresponds to the classical Korteweg-de Vries (KdV)
equation. We then explain, in some detail, the basics of the Direct Method
due to Hirota and how it can be applied in solving the KdV equation. We
finish considering, if time permits, other nonlinear systems of interest
where Hirota's method can be used.

HOST:   Ricardo Carretero
Feb 4

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