Exact solutions of a (2+1)-dimensional extended shallow water wave equation
Yuan Feng1, He Jing-Song2, †, Cheng Yi1
       

v J [ 1 ] with α=1, η 1 0 = 0 , t = 0. (a) Periodic solution (22): ϕ ( y ) = sn ( y , 3 / 10 ) , k 1 = 3 / 4 , p 1 = 1 ; (b) Dormion-type-I soliton (23): ϕ ( y ) = cn ( y , 1 ) , k 1 = 3 / 4 , p 1 = 1 ; (c) Bright dormion-type-II soliton (26): ϕ ( y ) = sn ( y , 1 ) , k 1 = 3 / 4 , p 1 = 1 ; (d) Dark dormion-type-II soliton (26): ϕ ( y ) = sn ( y , 1 ) , k 1 = 3 / 4 , p 1 = 1 ; (e) Bright dormion-type-III soliton (21): ϕ ( y ) = sn ( y , 1 / 2 ) / ( 1 + y 2 ) , k 1 = 3 / 4 , p 1 = 1 ; (f) Dark dormion-type-III soliton (21): ϕ ( y ) = sn ( y , 1 / 2 ) / ( 1 + y 2 ) , k 1 = 3 / 4 , p 1 = 1 .