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Alternative method to solve soliton envelope equation

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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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Author notes

  1. M. F. El-Sayed

    Present address: Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt

Authors and Affiliations

  1. Physics Department (UIA), University of Antwerp, Antwerp, Belgium

    D. K. Callebaut & M. F. El-Sayed

Authors
  1. D. K. Callebaut
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  2. M. F. El-Sayed
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Callebaut, D.K., El-Sayed, M.F. Alternative method to solve soliton envelope equation. Astrophys Space Sci 222, 237–240 (1994). https://doi.org/10.1007/BF00627100

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  • DOI: https://doi.org/10.1007/BF00627100

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