A new multi-symplectic scheme for the generalized KadomtsevPetviashvili equation
We propose a new scheme for the generalized KadomtsevPetviashvili (KP) equation. The multi-symplectic conservation property of the new scheme is proved. Back error analysis shows that the new multi-symplectic scheme has second order accuracy in space and time. Numerical application on studying the KPI equation and the KPII equation are presented in detail.
the generalized kadomtsevpetviashvili (kp) equation multi-symplectic method backward error analysis