Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system

摘要

Second- and fourth-order energy-preserving wavelet collocation schemes are proposed for the coupled nonlinear Schrödinger-Boussinesq system based on the Hamiltonian structure and composition technique. A fast solver improves the computational efficiency of the schemes. Some numerical experiments are conducted to show the efficiency and accuracy of the present schemes.