Weakly nonlinear wavepackets in the Korteweg-de Vries equation: The KdV/NLS connection

Mathematics and Computers in Simulation

Volumn 55, Issue 4-6, 2001, Pages 317-328

  Boyd, John P ^a,c   Chen, Guan Yu ^b  

^a Department of Atmospheric   (United States)

^b Inst of Harbour Marine Technology   (Taiwan)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Korteweg de Vries equation; NLS equation; Nonlinear wavepacket i.e. nonlinear wave

Indexed keywords

NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

KORTEWEG-DE VRIES EQUATION; NONLINEAR SCHRODINGER EQUATION; WEAKLY NONLINEAR WAVEPACKETS;

WAVE EQUATIONS;

EID: 0034924092     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(00)00291-3     Document Type: Article

References (12)

1. Equatorial solitary waves, Part II: Envelope solitons
2. Nonlinear wave packets of equatorial Kelvin waves
3. Note on a modification to the nonlinear Schrödinger equations and their solutions
4. The fourth-order evolution equation for deep-water gravity-capillary waves
5. Nonlinear, strongly dispersive water waves in arbitrary shear
6. A modern introduction to the mathematical theory of water waves
7. Solitons in a continuously stratified equatorial ocean
8. Note on the modified nonlinear Schrödinger equation for deep water waves
9. On the nonlinear Schrödinger limit of the Korteweg-de Vries equation
10. The relationship between the spectral theories for the periodic Kortewegde Vries and nonlinear Schrödinger equations