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• Approximate solution for Euler equations of stratified water via numerical solution of coupled KdV system

  Publication

  • A. Halim
  • S. Kshevetskii
  • S. Leble

  - International Journal of Mathematics and Mathematical Sciences - Year 2004

  We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial-boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm-Liouville problem. The horizontal profile is defined by a coupled KdV system which is...

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