A Haar wavelet collocation method for coupled nonlinear Schrodinger-KdV equations

作者：Oruc Omer^*; Esen Alaattin; Bulut Fatih

来源：International Journal of Modern Physics C, 2016, 27(9): 1650103.

DOI：10.1142/S0129183116501035

• Haar wavelet method
• coupled nonlinear Schrodinger-KdV equation
• nonlinear phenomena
• linearization
• numerical solution

In this paper, to obtain accurate numerical solutions of coupled nonlinear Schrodinger-Korteweg-de Vries (KdV) equations a Haar wavelet collocation method is proposed. An explicit time stepping scheme is used for discretization of time derivatives and nonlinear terms that appeared in the equations are linearized by a linearization technique and space derivatives are discretized by Haar wavelets. In order to test the accuracy and reliability of the proposed method L-2, L-infinity error norms and conserved quantities are used. Also obtained results are compared with previous ones obtained by finite element method, Crank-Nicolson method and radial basis function meshless methods. Error analysis of Haar wavelets is also given.

• 出版日期2016-9