Bespoke finite difference methods that preserve two local conservation laws of the modified KdV equation
arXiv:1808.09370 · doi:10.1063/1.5114131
Abstract
By exploiting the fact that conservation laws form the kernel of a discrete Euler operator, we use a recently introduced symbolic-numeric approach to construct a new class of finite difference methods for the modified Korteweg-de Vries (mKdV) equation, that preserve the local conservation laws of mass and energy.