## Direct methods in soliton theory

- R. Hirota
- 1980

@article{Caudrey2011MemoriesOH, title={Memories of Hirota's method: application to the reduced Maxwell-Bloch system in the early 1970s.}, author={P. J. Caudrey}, journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences}, year={2011}, volume={369 1939}, pages={1215-27} }

- Published 2011 in Philosophical transactions. Series A…
DOI:10.1098/rsta.2010.0337

Who remembers 'Hirota's method'? In the early days of solitons, although the Korteweg-de Vries equation had been solved by the 'inverse scattering method' most solutions to integrable non-linear equations were found by simpler more direct methods. Outstanding among these was a method due mainly to Hirota, which involved casting the equation into a 'bilinear form' and then applying intelligent guesswork. In this paper, I shall take a journey down memory lane, looking again at this method.