Interacting localized solutions for the Zakharov-Kusnetsov equation

DOI10.1016/J.CHAOS.2004.01.009zbMath1063.35139OpenAlexW2016555616MaRDI QIDQ1766652

Attilio Maccari

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.01.009

zbMATH Keywords

instanton solutionsexistence of approximate interacting localized solutionsexistence of localized solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Interacting dromions for electron acoustic waves.
• Universal and integrable nonlinear evolution systems of equations in 2+1 dimensions
• The Kadomtsev–Petviashvili equation as a source of integrable model equations
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