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Summation of the Witting series in the solitary wave problem

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Publication:1921780
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DOI10.1007/BF02110150zbMath0861.76009MaRDI QIDQ1921780

E. A. Karabut

Publication date: 12 May 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

system of ordinary differential equationscomplex variableheavy fluid over flat bottom


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)


Related Items (2)

Non-integrability of the Karabut system ⋮ Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application



Cites Work

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  • Accurate computations for steep solitary waves
  • A seventeenth-order series expansion for the solitary wave
  • On a series expansion for the solitary wave
  • Limiting gravity waves in water of finite depth
  • On the mass, momentum, energy and circulation of a solitary wave. II
  • On the Highest and Other Solitary Waves
  • The existence of solitary waves




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