Propagation of infinitely narrow delta-solitons
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
We construct a definition of the weak solution to KdV type equations with small dispersion admitting the zero dispersion limit for soliton-like solutions. Using this definition, we obtain a system of equations (the limit problem as the dispersion tends to zero) that describes the soliton dynamics.
Cite
@article{arxiv.math-ph/0012002,
title = {Propagation of infinitely narrow delta-solitons},
author = {Vladimir G. Danilov and Vladimir M. Shelkovich},
journal= {arXiv preprint arXiv:math-ph/0012002},
year = {2007}
}
Comments
19 pp