3 papers
math.AP2025
Classification of unstable travelling wave solutions to KdV type equations
Kaito Kokubu
We study travelling wave solutions to Korteweg--de Vries type equations which have double power nonlinearities with integer indices, such as the Gardner equation, and fractional di…
math.AP2024
Stability of travelling waves to Korteweg--de Vries type equations with fractional dispersion
Kaito Kokubu
We study stability of travelling wave solutions to Korteweg--de Vries type equations which has the fractional dispersion and integer-indices double power nonlinearities. It may dep…
math.AP2023
On solitary wave solutions to dispersive equations with double power nonlinearities
Kaito Kokubu
We study semilinear elliptic equations with the fractional Laplacian in . The equations with single power nonlinearities have been observed by Weinstein(1987), Frank--L…