A single integral identity derived from the Duhamel form yields conservation of mass, energy, momentum, pseudo-conformal law, and virial identities for power-type nonlinear Schrödinger equations.
Ginibre,An introduction to nonlinear Schrödinger equations, Nonlinear waves (Sapporo, 1995), GAKUTO Internat
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A Unified Integral Equation Approach to Conservation Laws for Nonlinear Schr\"odinger Equations
A single integral identity derived from the Duhamel form yields conservation of mass, energy, momentum, pseudo-conformal law, and virial identities for power-type nonlinear Schrödinger equations.