Modulational Stability of Korteweg - De Vries and Boussinesq Wavetrains Bhimsen
نویسنده
چکیده
The modulational stability of both the Korteweg-de Vries (KdV) and the Boussinesq wavetralns is investigated using Whltham’s variational method. It is shown that both KdV and Boussinesq wavetrains are modulationally stable. This result seems to confirm why it is possible to transform the KdV equation into a nonlinear Schr’dinger equation with a repulsive potential. A brief discussion of Whltham’s variational method is included to make the paper self-contained to some extent.
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