Singularity Formation and Blowup of Complex-Valued Solutions of the Modified KDV Equation
journal contributionposted on 2014-01-03, 00:00 authored by Jerry L. Bona, Stephane Vento, Fred B. Weissler
The dynamics of the poles of the two soliton solutions of the modified Korteweg-de Vries equation ut + 6u2ux + uxxx = 0 are investigated. A consequence of this study is the existence of classes of smooth, complex-valued solutions of this equation, defined for ∞1 < x < 1, exponentially decreasing to zero as x → ∞, that blow up in finite time.
Publisher StatementThis is a copy of an article published in the Discrete and Continuous Dynamical Systems - Series A © 2013 American Institute of Mathematical Sciences. The publication is available at http://aimsciences.org/journals/home.jsp?journalID=1 doi:10.3934/dcds.2013.33.4811
PublisherAmerican Institute of Mathematical Sciences