@article{247,
author = "P. Gaillard",
abstract = "We have already constructed solutions to the Kadomtsev-Petviashvili equation (KPI) in terms of Fredholm determinants and wronskians of order 2N. These solutions have been called solutions of order N and they depend on 2N ā1 parameters. We construct here N-order rational solutions. We prove that they can be written as a quotient of 2 polynomials of degree 2N(N +1) in x, y and t depending on 2Nā2 parameters. We explicitly construct the expressions of the rational solutions of order 4 depending on 6 real parameters and we study the patterns of their modulus in the plane (x, y) and their evolution according to time and parameters a1, a2, a3, b1, b2, b3.",
issn = "23942894",
journal = "IJASM",
keywords = "Kadomtsev Petviashvili Equation;Fredholm Determinants;Wronskians;Rogue Waves;Lumps",
month = "May",
number = "3",
pages = "60-70",
title = "{F}rom {F}redholm and {W}ronskian {R}epresentations to {R}ational {S}olutions to the {KPI} {E}quation {D}epending on 2{N} ā2 paramete",
volume = "4",
year = "2017",
}