Asymptotic Analysis of Multilump Solutions of the Kadomtsev–Petviashvili-I Equation

Asymptotic Analysis of Multilump Solutions of the Kadomtsev–Petviashvili-I Equation

We construct lump solutions of the Kadomtsev–Petviashvili-I equation using Grammian determinants in the spirit of the works by Ohta and Yang. We show that the peak locations depend on the real roots of the Wronskian of the orthogonal polynomials for the asymptotic behaviors in some particular cases....

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Veröffentlicht in:Theoretical and mathematical physics 2018-05, Vol.195 (2), p.676-689
1. Verfasser: Chang, Jen-Hsu
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Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Rotation
Theoretical
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description We construct lump solutions of the Kadomtsev–Petviashvili-I equation using Grammian determinants in the spirit of the works by Ohta and Yang. We show that the peak locations depend on the real roots of the Wronskian of the orthogonal polynomials for the asymptotic behaviors in some particular cases. We also prove that if the time goes to −∞, then all the peak locations are on a vertical line, while if the time goes to ∞, then they are all on a horizontal line, i.e., a π/2 rotation is observed after interaction.
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subjects Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Rotation
Theoretical
title Asymptotic Analysis of Multilump Solutions of the Kadomtsev–Petviashvili-I Equation
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