Dynamics of KPI lumps
نویسندگان
چکیده
A family of nonsingular rational solutions the Kadomtsev-Petviashvili (KP) I equation are investigated. These have multiple peaks whose heights time-dependent and peak trajectories in $xy$-plane altered after collision. Thus they differ from standard multi-peaked KPI simple $n$-lump as well remain unchanged interaction.The anomalous scattering occurs due to a non-trivial internal dynamics among slow time scale. This phenomena is explained by relating locations roots complex heat polynomials. It follows long asymptotics that separate $O(\sqrt{|t|})$ $|t| \to \infty$, all approach same constant value corresponding 1-lump solution. Consequently, solution evolves superposition $n$ asymptotically \infty$.
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ژورنال
عنوان ژورنال: Journal of Physics A
سال: 2022
ISSN: ['1751-8113', '1751-8121']
DOI: https://doi.org/10.1088/1751-8121/ac37e7