Second order conformal multi-symplectic method for the damped Korteweg–de Vries equation
Guo Feng
       

Numerical simulation of Eq. (22) with a=0.02 and the comparison of methods CMS and PBX with a=0.2. (a) Propagation of single solitary wave u; (b) numerical solutions at t = 0, t = 30, and t = 60; (c) error of the dissipation rate of mass r; (d) the evolution of total conformal momentum P n ; (e) the evolution of total conformal mass m n ; (f) comparison of methods CMS and PBX in the error of dissipation rate of mass with a=0.2.