In this paper, we derive a multi-symplectic Fourier pseudospectral scheme for the Kawahara
equation with special attention to the relationship between the spectral differentiation matrix …

In this paper, a Crank-Nicolson block-centered finite difference method is first developed
and analyzed for the nonlinear regularized long wave equation. By using a cutoff technique …

In this paper, a homotopy analysis method employed to obtain approximate numerical
solution of the modified regularized long wave (MRLW) equation with some specified initial …

In this paper, two conservative and fourth-order compact finite difference schemes are
proposed and analyzed for solving the regularized long wave (RLW) equation. The first …

In this article, we intend to use quadratic and cubic B-spline quasi-interpolants to develop
higher order numerical methods for some Sobolev type equations in one space dimension …

In this study, the Modified Regularized Long Wave (MRLW) equation is solved numerically.
The method used for the numerical solution of MRLW equation includes the space …

We propose an explicit multisymplectic Fourier pseudospectral scheme for the complex
modified Korteweg-de Vries equation. Two test problems, the motion of a single solitary …

In this paper, we propose a new energy-preserving scheme and a new momentum-
preserving scheme for the modified regularized long wave equation. The proposed schemes …

The multisymplectic schemes have been used in numerical simulations for the RLW‐type
equation successfully. They well preserve the local geometric property, but not other local …

In this paper, four local momentum-preserving (LMP) algorithms for the GRLW equation are
studied. The proposed algorithms, which conserve the local momentum conservation in any …