ALTERNATIVE METHOD TO SOLVE SOLITON ENVELOPE EQUATION

Authors
CALLEBAUT DK ELSAYED MF
Citation
Dk. Callebaut et Mf. Elsayed, ALTERNATIVE METHOD TO SOLVE SOLITON ENVELOPE EQUATION, Astrophysics and space science, 222(1-2), 1994, pp. 237-240
Citations number
13
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Astrophysics and space science → ACNP
ISSN journal
0004640X
Volume
222
Issue
1-2
Year of publication
1994
Pages
237 - 240
Database
ISI
SICI code
0004-640X(1994)222:1-2<237:AMTSSE>2.0.ZU;2-N
Abstract
In studying the nonlinear electrohydrodynamic stability of solitary wa ve packets of capillary-gravity waves, in (2+1) dimensions, for dielec tric fluids, we found that the complex amplitude of the surface elevat ion can be described by a nonlinear Schrodinger equation which can be written in the form of a soliton envelope equation. Using the tanh met hod we get in a very simple way the solitary wave solutions of this eq uation which we had obtained before by using the Jacobian elliptic fun ctions.