288 citations
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Showing 2011 · math-phShow all
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math-ph2011★ 1 cited
A note on the FKPP equation approached with the hyperbolic scaling
M. A. Reyes, H. C. Rosu
We consider the hyperbolic scaling of the FKPP equation and introduce two solutions of the action functional type in the limit of zero hyperbolic parameter. Furthermore, we show th…
math-ph2011★ 7 cited
Eigenvalue problems, spectral parameter power series, and modern applications
K. V. Khmelnytskaya, V. V. Kravchenko, H. C. Rosu
In the present review we deal with the recently introduced method of spectral parameter power series (SPPS) and show how its application leads to an explicit form of the characteri…
math-ph2011★ 9 cited
Traveling kinks in cubic nonlinear Ginzburg-Landau equations
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 fiel…