A new type of soliton behavior of the Davey-Stewartson equations in a plasma system

DOI10.1007/BF01017062zbMath0853.76098MaRDI QIDQ1918853

Kanji Abe, Katsuhiro Nishinari, Junkichi Satsuma

Publication date: 3 September 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

linearizationreductive perturbation methodfinite ion temperature effectmodulational instability of plane wavereconnection of solitonsresonant type of three-soliton solutions

Mathematics Subject Classification ID

Soliton equations (35Q51) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (8)

A time-splitting Galerkin finite element method for the Davey-Stewartson equations ⋮ Discrete symmetry’s chains and links between integrable equations ⋮ Davey-Stewartson equations in \((3 + 1)\) dimensions with an infinite-dimensional symmetry algebra ⋮ The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties ⋮ Derivative and higher-order extensions of Davey–Stewartson equation from matrix Kadomtsev–Petviashvili hierarchy ⋮ Galerkin methods for the Davey-Stewartson equations ⋮ Applicable symbolic computations on dynamics of small-amplitude long waves and Davey-Stewartson equations in finite water depth ⋮ Bäcklund-Schlesinger transformations for Davey-Stewartson equations

Cites Work

• Unnamed Item
• Interaction of Ion-Acoustic Solitons in Two-Dimensional Space
• On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
• Two-dimensional lumps in nonlinear dispersive systems
• On three-dimensional packets of surface waves

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