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Equatorial Solitary Waves. Part I：Rossby Solitons
modified Korteweg-deVries Korteweg-deVries Rossby Solitons
2009/2/19
Using the method of multiple scales, I show that long, weakly nonlinear, equatorial Rossby waves are governed by either the Korteweg-deVries (KDV) equation (symmetric modes of odd mode number n) or th...
Equatorial Solitary Waves. Part 2：Envelope Solitons
Envelope Solitons Equatorial Solitary Waves
2009/2/5
Via the method of multiple scales, it is shown that the time and space evolution of the envelope of wave packets of weakly nonlinear, strongly dispersive equatorial waves is governed by the Nonlinear ...
Equatorial Solitary Waves. Part 3：Westward-Traveling Modons
Equatorial Solitary Waves Westward-Traveling Modons
2009/1/14
Boyd's previous work on equatorial Rossby solitary waves which derived the Korteweg-deVries equation using the method of multiple scales is here extended in several ways. First, the perturbation theor...
Equatorial Solitary Waves. Part V: Initial Value Experiments, Coexisting Branches, and Tilted-Pair Instability
Equatorial Solitary Waves Initial Value Experiments Coexisting Branches Tilted-Pair Instability
2008/6/13
series of high-resolution numerical experiments, augmented by theory, to further explore the dynamics of equatorial dipole vortices (Rossby solitary waves) is performed. When the amplitude is suffici...