Monopolar and dipolar vortex solitons in two space dimensions

DOI10.1016/0165-2125(91)90060-2zbMath0749.76016OpenAlexW2002012407MaRDI QIDQ1193301

John P. Boyd

Publication date: 27 September 1992

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/29355

zbMATH Keywords

Newton's iterationgeophysical fluid dynamicsorthogonal rational Chebyshev functions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) KdV equations (Korteweg-de Vries equations) (35Q53)

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Cites Work

• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Solitons from sine waves: Analytical and numerical methods for non- integrable solitary and cnoidal waves
• A comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales
• Orthogonal rational functions on a semi-infinite interval
• Spectral methods using rational basis functions on an infinite interval
• New Directions in Solitons and Nonlinear Periodic Waves: Polycnoidal Waves, Imbricated Solitons, Weakly Nonlocal Solitary Waves, and Numerical Boundary Value Algorithms
• A numerical calculation of a weakly non-local solitary wave: the ϕ⁴breather
• The vortices of homogeneous geostrophic turbulence
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