Relativistic Burgers and Nonlinear Schrödinger Equations

Physics – Mathematical Physics

Scientific paper

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11 pages, contribution to Proceedings of Conference, Nonlinear Physics. Theory and Experiment V, Gallipoli, Italy 2008; to app

Scientific paper

Relativistic complex Burgers-Schr\"odinger and Nonlinear Schr\"odinger
equations are constructed. In the non-relativistic limit they reduce to the
standard Burgers and NLS equations respectively and are integrable at any order
of relativistic corrections.

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