Soliton phenomena in unstable media

DOI10.1016/0167-2789(91)90247-7zbMath0742.35050OpenAlexW2059827479MaRDI QIDQ1181190

Takeshi Iizuka, Tetsu Yajima, Miki Wadati

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90247-7

zbMATH Keywords

Rayleigh-Taylor instabilityinverse scattering methodelectron beam plasmaunstable nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (6)

On unstable nonlinear schrödinger equations ⋮ Nonlinear analysis of instability produced by linear mode coupling ⋮ New explicit exact solitary wave solutions for a new Hamiltonian amplitude equation ⋮ Hamiltonian formalism for the nonlinear Schrödinger equation in physical space–time ⋮ New hierarchy of integrable system bi-Hamiltonian structure and constrained flows ⋮ Regularity of the attractor for the dissipative Hamiltonian amplitude equation governing modulated wave instabilities

Cites Work

• Unnamed Item
• The Modified Korteweg-de Vries Equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Method for Solving the Korteweg-deVries Equation

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