Transverse spectral instability in generalized Kadomtsev–Petviashvili equation
نویسندگان
چکیده
We study transverse stability and instability of one-dimensional small-amplitude periodic travelling waves a generalized Kadomtsev–Petviashvili equation with respect to two-dimensional perturbations, which are either or square-integrable in the direction propagation underlying wave direction. obtain results KP-fKdV, KP-ILW KP-Whitham equations. Moreover, assuming spectral we aforementioned
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ژورنال
عنوان ژورنال: Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2022
ISSN: ['1471-2946', '1364-5021']
DOI: https://doi.org/10.1098/rspa.2021.0693