Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds
نویسندگان
چکیده
By using gauge transformations, we manage to obtain new solutions of (2 + 1)dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and SawadaKotera(SK) equations from non-zero seeds. For each of the preceding equations, a Galilean type transformation between these solutions u2 and the previously known solutions u2 generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for u2 and u2, and further point out the two main differences of them under the same value of parameters, i.e., height and location of peak line, which are demonstrated visibly in three figures.
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