Alternative method to solve soliton envelope equation |
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| Authors: | D K Callebaut M F El-Sayed |
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| Institution: | (1) Physics Department (UIA), University of Antwerp, Antwerp, Belgium;(2) Present address: Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt |
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| Abstract: | 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 surface elevation can be described by a nonlinear Schrödinger 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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