New scale-invariant nonlinear differential equations for a complex scalar field
نویسنده
چکیده
The 11-parameter transformation group with generators (2) and (5) is called the extended Poincaré group P̃ (1, 3). The above result admits the following group-theoretical interpretation: on the set of solutions of the nonlinear wave equation (1) two inequivalent representations of the extended Poincaré group are realized. Each representation gives rise to a P̃ (1, 3)nonlinear wave equation with a very specific nonlinearity. Surprisingly enough, there is no an analogous result for the complex nonlinear wave equation
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