Interaction processes with the radiation for the KP equation, through symmetry transformations

DOI10.1016/S0960-0779(03)00094-8zbMath1068.35139OpenAlexW2135608781MaRDI QIDQ1433830

Elena Medina, María José Marín

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(03)00094-8

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (3)

Source and sink solution, finite time blow-up, diffusion, creation and annihilation processes in the Davey--Stewartson equation ⋮ New solutions of the \(2+1\) dimensional BKP equation through symmetry analysis: source and sink solutions, creation and diffusion of breathers\dots{} ⋮ Kadomtsev-Petviashvili II equation: structure of asymptotic soliton webs

Cites Work

• Nonclassical symmetry reductions for the Kadomtsev-Petviashvili equation
• An \(N\) soliton resonance solution for the KP equation: interaction with change of form and velocity
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• The inverse scattering transform: Semi-infinite interval
• Resonantly interacting solitary waves
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