New solutions of the \(2+1\) dimensional BKP equation through symmetry analysis: source and sink solutions, creation and diffusion of breathers\dots{}

DOI10.1016/j.chaos.2003.09.027zbMath1049.35159OpenAlexW2039480728MaRDI QIDQ1878144

Elena Medina, María José Marín

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.09.027

Mathematics Subject Classification ID

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

Related Items (1)

Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations

Cites Work

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• Solitons and infinite dimensional Lie algebras
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Interaction processes with the radiation for the KP equation, through symmetry transformations
• Source and sink solution, finite time blow-up, diffusion, creation and annihilation processes in the Davey--Stewartson equation
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• On the infinite-dimensional symmetry group of the Davey–Stewartson equations
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries

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