Rational solutions to the KPI equation and multi rogue waves

DOI10.1016/j.aop.2016.01.013zbMath1378.35266OpenAlexW2298839685MaRDI QIDQ680002

Juan-Miguel Gracia

Publication date: 22 January 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2016.01.013

zbMATH Keywords

rational solutionsrogue wavesKPI equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items

Solitons to rogue waves transition, lump solutions and interaction solutions for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid dynamics ⋮ Multiparametric families of solutions of the Kadomtsev-Petviashvili-I equation, the structure of their rational representations, and multi-rogue waves ⋮ Rogue waves of the nonlocal Davey–Stewartson I equation ⋮ Interaction of multi-lumps within the Kadomtsev-Petviashvili equation ⋮ Dynamics of localized wave solutions for the coupled Higgs field equation ⋮ A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems ⋮ Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation ⋮ Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients

Cites Work

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• Young diagrams and N-soliton solutions of the KP equation

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