We present a new form of Bäcklund transformations which gives a unified method of finding Bäcklund transformations for solutions of certain nonlinear evolution equations and constructing the inverse scattering problem for solving the initial-value problem. We consider the sine-Gordon equation, the modified Korteweg-de Vries equation and the Korteweg-de Vries equation as examples.
No takes yet. Share an insight, caveat, or question.
Ryogo Hirota (1974) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: