TY - JOUR
T1 - Soliton interactions of the kadomtsev-petviashvili equation and generation of large-amplitude water waves
AU - Biondini, G.
AU - Maruno, K. I.
AU - Oikawa, M.
AU - Tsuji, H.
PY - 2009/5
Y1 - 2009/5
N2 - We study the maximum wave amplitude produced by line-soliton interactions of the Kadomtsev-Petviashvili II (KPII) equation, and we discuss a mechanism of generation of large amplitude shallow water waves by multi-soliton interactions of KPII. We also describe a method to predict the possible maximum wave amplitude from asymptotic data. Finally, we report on numerical simulations of multi-soliton complexes of the KPII equation which verify the robustness of all types of soliton interactions and web-like structure.
AB - We study the maximum wave amplitude produced by line-soliton interactions of the Kadomtsev-Petviashvili II (KPII) equation, and we discuss a mechanism of generation of large amplitude shallow water waves by multi-soliton interactions of KPII. We also describe a method to predict the possible maximum wave amplitude from asymptotic data. Finally, we report on numerical simulations of multi-soliton complexes of the KPII equation which verify the robustness of all types of soliton interactions and web-like structure.
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U2 - 10.1111/j.1467-9590.2009.00439.x
DO - 10.1111/j.1467-9590.2009.00439.x
M3 - Article
AN - SCOPUS:65449180654
SN - 0022-2526
VL - 122
SP - 377
EP - 394
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 4
ER -