On the number of solitons for the intermediate long wave equation

A. A. Minzoni, T. Miloh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this work we use an extension of the WKB method to nonlocal problems to count number of solitons produced by an arbitrary slowly varying initial disturbance in the ILW (Intermediate Long Wave) evolution equation. The results give the complete description for the range of parameters. In the course of the analysis we also recover the results for the Benjamin-Ono equation, recently obtained by dimensional arguments and verified by numerical simulations by Miloh et al. [5] and ingeniously by Matsuno [3], under a specific and still unproved assumption regarding the additive behavior of the conservation laws for the Benjamin-Ono equation.

Original languageEnglish
Pages (from-to)131-142
Number of pages12
JournalWave Motion
Issue number2
StatePublished - Sep 1994
Externally publishedYes


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