Singularity formation and blowup of complex-valued solutions of the modified KdV equation
Analysis of PDEs
2012-01-04 v1
Abstract
The dynamics of the poles of the two--soliton solutions of the modified Korteweg--de Vries equation are determined. A consequence of this study is the existence of classes of smooth, complex--valued solutions of this equation, defined for , exponentially decreasing to zero as , that blow up in finite time.
Keywords
Cite
@article{arxiv.1201.0442,
title = {Singularity formation and blowup of complex-valued solutions of the modified KdV equation},
author = {Jerry L. Bona and Stéphane Vento and Fred B. Weissler},
journal= {arXiv preprint arXiv:1201.0442},
year = {2012}
}