Refraction of dispersive shock waves

  title={Refraction of dispersive shock waves},
  author={Gennady A. El and V. V. Khodorovskii and A. M. Leszczyszyn},
  journal={Physica D: Nonlinear Phenomena},

Resonant generation and refraction of dispersive shock waves in one-dimensional nonlinear Schrödinger flows

In the Thesis, two important theoretical problems arising in the theory of one-dimensional defocusing nonlinear Schrodinger (NLS) flows are investigated analytically and numerically: (i) the resonant

Dispersive shock waves and modulation theory

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Resolution of a shock in hyperbolic systems modified by weak dispersion.

  • G. El
  • Mathematics
  • 2005
We present a way to deal with dispersion-dominated "shock-type" transition in the absence of completely integrable structure for the systems that one may characterize as strictly hyperbolic

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