4 years ago

Additivity of integrals of motion in a nonlinear dynamical system.

Mikhail N. Smolyakov

Usually, the additivity property is inherent to the systems obeying linear equations of motion. In this paper I will show that in the systems obeying the nonlinear Schrodinger equation with the general form of nonlinearity, the additivity property is valid at least for the basic integrals of motion calculated for the nonlinear perturbations against a stationary background solution.

Publisher URL: http://arxiv.org/abs/1710.10445

DOI: arXiv:1710.10445v2

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