Alternative method to solve soliton envelope equation

Details Alternative method to solve soliton envelope equation Alternative method to solve soliton envelope equation

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.222..237c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 222, no. 1-2, p. 237-240

Physics

10

Electrohydrodynamics, Gravity Waves, Nonlinearity, Schroedinger Equation, Solitary Waves, Acceleration (Physics), Elliptic Functions, Interfacial Tension, Permittivity

Scientific paper

In studying the nonlinear electrohydrodynamic stability of solitary wave packets of capillary-gravity waves, in (2+1) dimensions, for dielectric fluids, we found that the complex amplitude of the suface elevation can be described by a nonlinear Schroedinger equation which can be written in the form of a soliton envelope equation. Using the tanh method we get in a very simple way the solitary wave solutions of this equation which we had obtained before by using the Jacobian elliptic functions.

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