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A variational principle for nonlinear water waves

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Publication:1099698
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DOI10.1007/BF01176549zbMath0638.76015OpenAlexW1977980590MaRDI QIDQ1099698

Lokenath Debnath

Publication date: 1988

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01176549


zbMATH Keywords

Lagrangian functioninviscid irrotational fluid flowrunning stream of finite depthtwo-dimensional surface wavesvariational formulation of non- axisymmetric water waves


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Variational principles of physics (49S05)


Related Items (2)

On linear and nonlinear Rossby waves in an ocean ⋮ Variational principle for nonlinear Rossby waves and conservation laws



Cites Work

  • On transient development of surface waves
  • The second approximation to cnoidal and solitary waves
  • Small-amplitude internal waves due to an oscillatory pressure
  • Waves on a shear flow
  • THE ULTIMATE APPROACH TO THE STEADY STATE IN THE GENERATION OF WAVES ON A RUNNING STREAM
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