Monday, January 30, 2012

1107.4773 (H. C. Rosu et al.)

Traveling kinks in cubic nonlinear Ginzburg-Landau equation    [PDF]

H. C. Rosu, O. Cornejo-Perez, P. Ojeda-May
Nonlinear cubic Euler-Lagrange equations of motion in the traveling variable
are usually derived from Ginzburg-Landau free energy functionals frequently
encountered in several fields of physics. Many authors considered in the past
damped versions of such equations with the damping term added by hand
simulating the friction due to the environment. It is known that even in this
damped case kink solutions can exist. By means of a factorization method, we
provide analytic formulas for several possible kink solutions of such equations
of motion in the undriven and constant field driven cases, including the
recently introduced Riccati-parameter kinks which were not considered
previously in such a context. The latter parameter controls the delay of the
switching stage of the kinks
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