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

Propagation of single solitary wave with a=0.01. (a) the shape of solutions with β=0.1; (b) the shape of solutions with β=1.5; (c) the evolution of soliton amplitude with β=0.1; (d) the evolution of soliton amplitude with β=1.5.