Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation
نویسندگان
چکیده
Of concern are traveling wave solutions for the fractional Kadomtsev–Petviashvili (fKP) equation. The existence of periodically modulated solitary is proved by dimension-breaking bifurcation. Moreover, line and their transverse (in)stability discussed. Analogous to classical Kadmomtsev–Petviashvili (KP) equation, fKP equation comes in two versions: fKP-I fKP-II. We show that waves transversely linearly instable. also perform numerical experiments observe dynamics both fKP-II equations.
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2022
ISSN: ['0022-2526', '1467-9590']
DOI: https://doi.org/10.1111/sapm.12494