# Numerical solutions of the symmetric regularized-long-wave equation by trigonometric integrator pseudospectral discretization

@article{Dong2011NumericalSO, title={Numerical solutions of the symmetric regularized-long-wave equation by trigonometric integrator pseudospectral discretization}, author={Xuanchun Dong}, journal={arXiv: Mathematical Physics}, year={2011} }

The computation of the symmetric regularized-long-wave (SRLW) equation, which describes weekly nonlinear ion acoustic and space-charge waves, is dealt with in this paper. The numerical scheme to be proposed applies the Fourier pseudospectral discretization to spatial derivatives in time space, with time advance accomplished in phase space by a integrator based on trigonometric polynomials which is fully explicit. Extensive numerical tests are reported, which are geared towards understanding the…

## 3 Citations

### Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions

- Mathematics
- 2012

In this study, the nonlinear symmetric regularized long wave equation was solved numerically by using radial basis functions collocation method. The single solitary wave solution, the interaction of…

### Numerical Solutions of Symmetric Regularized Long Wave Equations Using Collocation of Cubic B-splines Finite Element

- Mathematics, Computer Science
- 2015

A new methodology to obtain numerical solutions of symmetric regularized long wave equations based on collocation of modified cubic B-spline basis functions over the finite elements that provides approximate solutions not only at the grid points, but also at any point in the solution range.

### Solution of Symmetric RLW Equation by the Meshless Kernel Based Method of Lines

- Mathematics
- 2016

Solution of Symmetric RLW Equation by the Meshless Kernel Based Method of Lines The Symmetric Regularized Long Wave (SRLW) equation is solved numerically by using the meshless kernel based method of…

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