I. Exact solution of some nonlinear evolution equations. II. The similarity solution for the Korteweg-De Vries equation and the related Painleve Transcendent
<p>In Part I, a method for finding solutions of certain diffusive dispersive nonlinear evolution equations is introduced. The method consists of a straightforward iteration procedure, applied to the equation as it stands (in most cases), which can be carried out to all terms, followed by a sum...
Internet
https://thesis.library.caltech.edu/7554/1/Rosales-rr-1977.pdfRosales, Rodolfo Ruben (1977) I. Exact solution of some nonlinear evolution equations. II. The similarity solution for the Korteweg-De Vries equation and the related Painleve Transcendent. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5vas-ge83. https://resolver.caltech.edu/CaltechTHESIS:03262013-081944588 <https://resolver.caltech.edu/CaltechTHESIS:03262013-081944588>