Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system

Abstract Efficient, mass- and energy-preserving schemes are developed for the multi-dimensional coupled nonlinear Schrodinger–Boussinesq system. In the scheme, the solution u n + 1 is decoupling of v n + 1 and Φ n + 1 . A fast solver is proposed to speed up the computation of the solutions v n + 1 and Φ n + 1 . Numerical results show that our scheme gives better solution than the existing schemes, and also verify that it has the exact preservation of the discrete mass and energy.

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