Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1998-02-06
Physics
Condensed Matter
Soft Condensed Matter
17 pages, latex, no figures
Scientific paper
We investigate generalizations of the Burgers and Burgers-Huxley equations. The investigations we offer focus attention mainly on presenting explict analytical solutions by means of relating these generalized equations to relativistic 1+1 dimensional systems of scalar fields where topological solutions are known to play a role. Emphasis is given on chiral solutions, that is, on the possibility of finding solutions that travel with velocities determined in terms of the parameters that identify the generalized equation, with a definite sign.
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