Singularity Formation and Blowup of Complex-Valued Solutions of the Modified KDV Equation
journal contributionposted on 03.01.2014 by Jerry L. Bona, Stephane Vento, Fred B. Weissler
Any type of content formally published in an academic journal, usually following a peer-review process.
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.