Solution of the Korteweg-de Vries equation which arises near the breaking point in problems with a slight dispersion
Suleimanov B. I.
A special solution of the Korteweg-de Vries equation describing the beginning of "breaking" in problems with a slight dispersion is analyzed. It is suggested that this solution simultaneously satisfies an ordinary differential equation which is the steady-state part of the symmetry of the Korteweg-de Vries equation. Arguments in favor of this suggestion are presented.
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![](/ps/1194/article_18028_800_head.png "A special solution of the Korteweg-de Vries equation describing the beginning of "breaking" in problems with a slight dispersion is analyzed. It is suggested that this solution simultaneously satisfies an ordinary differential equation which is the steady-state part of the symmetry of the Korteweg-de Vries equation. Arguments in favor of this suggestion are presented.")