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Daily Overview |
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Pms3: Partial Differential Equations with multiple scales Location: G309 Session Chair: Matthias Röger Session Chair: Ben Schweizer | |
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The NLS approximation for a fractional wave equation 1: Universität Stuttgart, Germany; 2: Lund University, Sweden Non-local dispersive partial differential equations (PDEs) involving the fractional Laplacian have proven relevant in numerous applications. In this work, we investigate modulation equations for the space-fractional cubic Klein-Gordon equation. The Klein-Gordon equation plays a fundamental role, for instance, in the study of nonlinear optics and serves as one of the standard PDEs for the derivation of the Nonlinear Schrödinger (NLS) equation, a universal modulation equation widely used in this field. | |
