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From: OsherD on 25 Apr 2010 01:40
From Osher Doctorow

A. I. Zenchuk and P. M. Santini, respectively of the Landau Institute
Moscow Russia and U. di Roma Italy, have 2 important papers in arXiv
in 2008 and 2009 that involve Solitons and the Method of
Characteristics among others. It could just be that the Method of
Characteristics, or even more generally PDEs that only involve 1st
Partial Derivatives, play a key role in Causation and Solitons.

The papers are as follows:

1) Zenchuk and Santini, "On the remarkable relations among PDEs
integrable by the inverse spectral transform method, by the method of
characteristics and by the Hopf-Cole transformation," arXiv: 0801.3945
v1 [nlin.SI] 25 Jan 2008, 30 pages.

2) Zenchuk, "On the relationship between nonlinear equations
integrable by the method of characteristics and equations associate
with commuting vector fields," arXiv 0901.0647 (readers can look up
the remainder identifiers of the paper themselves).

I will try to continue this later. Recall that in my previous post,
some surprising (arguably) results just involving first partial
derivatives and memory in two-time scenarios were obtained.

Osher Doctorow
From: OsherD on 25 Apr 2010 02:00
From Osher Doctorow

Look at Wikipedia's "Method of Characteristics", especially their
example of the Advection equation:

1) aDx(u) + Dt(u) = 0, a constant, u = u(x, t).

It turns out that the characteristic curve is a characteristic line x
- at = 0 and various other similarities to 366.5 hold. Here x and t
respectively replace u and t of 366.5, more or less (x is spatial in
the Wikipedia article, however).

Osher Doctorow
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