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

Parameters: α=1, η 1 0 = 0 , k 1 = 3 / 4 , p 1 = 1 , t = 0. (a) The contour line v Jp [ 1 ] h with h = ( 27 / 20 ) k 1 p 1 (solid, red), h = ( 3 / 4 ) k 1 p 1 (solid, blue), h = ( 1 / 4 ) k 1 p 1 (solid, purple), h = ( 27 / 20 ) k 1 p 1 (dash, red), h = ( 3 / 4 ) k 1 p 1 (dash, blue), h = ( 1 / 4 ) k 1 p 1 (dash, purple); (b) The contour line v J I [ 1 ] h with h = ( 27 / 40 ) k 1 p 1 (solid, red), h = ( 3 / 8 ) k 1 p 1 (solid, blue), h = ( 3 / 20 ) k 1 p 1 (solid, purple), h = ( 27 / 40 ) k 1 p 1 (dash, red), h = ( 3 / 8 ) k 1 p 1 (dash, blue), h = ( 3 / 20 ) k 1 p 1 (dash, purple); (c) The contour line v J II [ 1 ] h with h = ( 27 / 20 ) k 1 p 1 (red), h = ( 3 / 4 ) k 1 p 1 (blue), h = ( 1 / 6 ) k 1 p 1 (purple); (d) The contour line v J III [ 1 ] h with h = ( 27 / 20 ) k 1 p 1 (solid, red), h = ( 3 / 4 ) k 1 p 1 (solid, blue), h = ( 1 / 4 ) k 1 p 1 (solid, purple), h = ( 1 / 6 ) k 1 p 1 (dash, red), h = ( 1 / 4 ) k 1 p 1 (dash, blue), h = ( 1 / 3 ) k 1 p 1 (dash, purple).