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Transverse instability and collapse of internal algebraic solitary waves in fluids of large depth

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Publication:1569523
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DOI10.1016/S0375-9601(99)00910-XzbMath0966.76013MaRDI QIDQ1569523

Yoshimasa Matsuno

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)


zbMATH Keywords

Rayleigh-Taylor instabilityBenjamin-Ono equationtransverse instabilitylong-wave limitWhitham's theorycollapsing clusterslong term evolutionone-dimensional internal algebraic solitary wavespositive dispersiontransverse perturbation


Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Interfacial stability and instability in hydrodynamic stability (76E17) Soliton equations (35Q51)




Cites Work

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  • Linear stability of multiple internal solitary waves in fluids of great depth
  • Linear stability of internal wave solitons in a deep stratified fluid
  • Long Internal Waves in Fluids of Great Depth
  • Rayleigh-Taylor instability in the “shallow-water” approximation
  • Stability of Nonlinear Periodic Internal Waves in a Deep Stratified Fluid
  • Initial value problem of the linearized Benjamin–Ono equation and its applications


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