<p>In this paper, the solution of the resonant nonlinear Schrödinger equation with high dispersion, perturbation, cubic-fifth-septic nonlinearity and multiplicative white noise to resonant nonlinearities in Bohm potential is investigated. The Schrödinger equation in this study is a novel model. A series of analytical solutions of the general form of this equation, including trigonometric solutions, solved solutions, solitary wave solutions, and Jacobian elliptic function double periodic solutions, are obtained by using the trial equations method and the complete discriminant system for polynomial method proposed by Professor Liu. The sensitivity on parameters and random averaging also are discussed. In addition, several representative solutions are selected and 2D graphical examples are given for specific parametric conditions.</p>

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Exact solution of the resonant nonlinear Schrödinger equation with high dispersion and cubic-quintic-septic nonlinearity and with multiplicative white noise

  • Chuanqi Li

摘要

In this paper, the solution of the resonant nonlinear Schrödinger equation with high dispersion, perturbation, cubic-fifth-septic nonlinearity and multiplicative white noise to resonant nonlinearities in Bohm potential is investigated. The Schrödinger equation in this study is a novel model. A series of analytical solutions of the general form of this equation, including trigonometric solutions, solved solutions, solitary wave solutions, and Jacobian elliptic function double periodic solutions, are obtained by using the trial equations method and the complete discriminant system for polynomial method proposed by Professor Liu. The sensitivity on parameters and random averaging also are discussed. In addition, several representative solutions are selected and 2D graphical examples are given for specific parametric conditions.