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Intrinsic Geometry of the NLS Equation and Its Auto-Bäcklund Transformation |
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| Authors: | C Rogers & W K Schief |
| Institution: | University of New South Wales |
| Abstract: | The nonlinear Schrödinger equation is derived in a general intrinsic geometric setting involving a normal congruence originally investigated by Marris and Passman in 1969 in a hydrodynamical context. Geometric properties of members of the normal congruence are adduced and an intrinsic representation of the auto-Bäcklund transformation is obtained for the nonlinear Schrödinger equation. |
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