On the number of solitons for the intermediate long wave equation

A. A. Minzoni; T. Miloh

doi:10.1016/0165-2125(94)90037-X

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 journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	131-142
Number of pages	12
Journal	Wave Motion
Volume	20
Issue number	2
DOIs	https://doi.org/10.1016/0165-2125(94)90037-X
State	Published - Sep 1994
Externally published	Yes

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On the number of solitons for the intermediate long wave equation

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