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- W2533860440 abstract "Abstract In this paper the Green’s function method and results about fixed point are used to get existence results on periodic traveling wave solution for non-homogeneous problems of generalized versions of the BBM and KdVB equations. It is shown through the constructions of explicit Green’s functions that the periodic boundary value problems for the traveling wave solutions of the BBM and KdVB equations are equivalent to integral equations which generate compact operators in the space of periodic functions. These integral representations allowed us to prove that if the speed of the wave propagation is suitably chosen, then the BBM and KdVB equations will admit periodic traveling wave solution." @default.
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- W2533860440 date "2017-04-01" @default.
- W2533860440 modified "2023-09-27" @default.
- W2533860440 title "Periodic traveling wave solution for non-homogeneous BBM and KdVB equations" @default.
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- W2533860440 doi "https://doi.org/10.1016/j.nonrwa.2016.09.009" @default.
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