A systematic procedure for the bilinearization of classes of soliton equations is developed with the help of a generalization of Bell's exponential polynomials (1934). Application of this procedure to Kaup's higher-order wave equation (1975) discloses several links with other soliton systems. In particular, it is found that the Kaup equation is the modified version of a sech square soliton system which constitutes an alternative to the good Boussinesq equation.
No takes yet. Share an insight, caveat, or question.
Lambert et al. (1994) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: