Variational Principle for a Non-Autonomous Cubic-Quintic Discrete Nonlinear Schrödinger Equation

Ifriani Bakri, Mahdhivan Syafwan, Arrival Rince Putri


We apply the semi-inverse method to formulate variational principle for a non-autonomous cubic-quintic discrete nonlinear Schrödinger equation. The equation can describe the optical beam propagation in coupled nonlinear waveguides whose material is better modeled by competing cubic and quintic nonlinearities. Our formulation is performed by introducing integrating factors and an unknown function into the existing variational principle of the corresponding autonomous version. From the obtained result we confirm the effectiveness of the method.


Cubic-quintic discrete nonlinear Schrödinger equation, variational principle, semi-inverse method

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