Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2+ 1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic t...Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2+ 1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic travelling wave solutions with different periods and velocities are obtained based on the known periodic solutions.This procedure is crucially dependent on a sequence of cyclic identities involving Jacobi elliptic functions sn(ζ,m),cn(ζ,m),and dn(ζ,m).展开更多
文摘Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2+ 1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic travelling wave solutions with different periods and velocities are obtained based on the known periodic solutions.This procedure is crucially dependent on a sequence of cyclic identities involving Jacobi elliptic functions sn(ζ,m),cn(ζ,m),and dn(ζ,m).
