Solutions of the (2 + 1)-Dimensional KP, SK and KK Equations Generated by Gauge Transformations from Nonzero Seeds

نویسندگان

چکیده

By using gauge transformations, we manage to obtain new solutions of (2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and Sawada-Kotera(SK) equations from non-zero seeds. For each the preceding equations, a Galilean type transformation between these $u_2$ previously known $u_2^{\prime}$ generated zero seed is given. We present several explicit formulas single-soliton for $u_2^{\prime}$, further point out two main differences them under same value parameters, i.e., height location peak line, which are demonstrated visibly in three figures.

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Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds

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ژورنال

عنوان ژورنال: Journal of Nonlinear Mathematical Physics

سال: 2021

ISSN: ['1776-0852', '1402-9251']

DOI: https://doi.org/10.1142/s1402925109000170