High-order strongly nonlinear long wave approximation and solitary wave solution – CORRIGENDUM

Notice that the coefficient for vxvxx on the right-hand side has been changed to 3 from 5 in C22. The numerical results presented in figures 9, 11, and 12 in C22 are recomputed with the corrected second-order system, but the new numerical solutions are found close to the previous solutions as the error was introduced in the high-order dispersive terms of O(β4) 1. Therefore, no new numerical solutions are presented here although they are made available at https://web.njit.edu/~wychoi/pub/Choi22~newfigures.pdf. It should be remarked that the maximum difference between the new and old solutions, for example, for the head-on collision of two-counter propagating solitary waves presented in figure 12 in C22 is found about 3.76 %. Therefore, the discussion about the second-order model in C22 remains valid. In the meantime, the loss of the truncated energy for the second-order model is found 0.179 % at t/(h/g)1/2 = 200 for the propagation of a single solitary wave presented in figure 9 and 0.198 % at t/(h/g)1/2 = 20 for the head-on collision of two solitary waves in figure 11, instead of 0.230 % and 0.130 %, respectively, reported in C22.