8 citations · 26 across the 14 of their papers we have counts for
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Higher-order asymptotic profiles for solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity
Ikki Fukuda, Yota Irino
We consider the asymptotic behavior of solutions to the Cauchy problem for a dispersive-dissipative equation with a cubic nonlinearity. It is known that the leading term of the asy…
Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation
Ikki Fukuda
We consider the Cauchy problem for the generalized Fornberg-Whitham equation with dissipation. This is one of the nonlinear, nonlocal and dispersive-dissipative equations. The main…
Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev--Petviashvili--Burgers equation in 2D
Ikki Fukuda, Hiroyuki Hirayama
We consider the Cauchy problem for the generalized Kadomtsev--Petviashvili--Burgers equation in 2D. This is one of the nonlinear dispersive-dissipative type equations, which has a…
Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation
Ikki Fukuda, Masahiro Ikeda
We consider the large time behavior of the solutions to the Cauchy problem for the BBM-Burgers equation. We prove that the solution to this problem goes to the self-similar solutio…