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The simplest equation method to study perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity. (English) Zbl 1245.35121
Summary: The simplest equation method is a powerful solution method for obtaining exact solutions of nonlinear evolution equations.
In this paper, the simplest equation method is used to construct exact solutions of nonlinear Schrödinger’s equation and perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity. It is shown that the proposed method is effective and general.

##### MSC:
 35Q55 NLS equations (nonlinear Schrödinger equations) 35G20 Nonlinear higher-order PDEs
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##### References:
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