Publication: The defocusing NLS equation and its normal form
The defocusing NLS equation and its normal form
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Grébert, B., & Kappeler, T. (2014). The defocusing NLS equation and its normal form (A. Ranicki, Ed.). European Mathematical Society Publishing House. https://doi.org/10.4171/131
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The theme of this monograph is the nonlinear Schrödinger equation. This equation models slowly varying wave envelopes in dispersive media and arises in various physical systems such as water waves, plasma physics, solid state physics and nonlinear optics. More specifically, this book treats the defocusing nonlinear Schrödinger (dNLS) equation on the circle with a dynamical systems viewpoint. By developing the normal form theory it is shown that this equation is an integrable partial differential equation in the strongest possible sens
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Grébert, B., & Kappeler, T. (2014). The defocusing NLS equation and its normal form (A. Ranicki, Ed.). European Mathematical Society Publishing House. https://doi.org/10.4171/131