Work

Asymptotic behavior of dark multi-solitons to the intermediate nonlinear Schrödinger equation

Year: 2025

Type: article

Abstract: The intermediate nonlinear Schrödinger equation (abbreviated to (INS)) is a model equation for envelope waves in a deep stratified fluid and can be thought of as a generalization of the defocusing nonlinear Schrödinger equation. Furthermore, it possesses dark multi-solitons as well as the defocusing nonlinear Schrödinger equation. In this paper, we reveal the asymptotic behavior of dark multi-solitons to (INS). We also give the asymptotic behavior of bright multi-solitons to the intermediate long wave equation. Our analysis relies only on the explicit forms of multi-solitons obtained by Hirota’s bilinear method.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101273

Author: Takafumi Akahori

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

Funder: Japan Society for the Promotion of Science

Award: 完全可積分系の方程式に対する解の時間大域挙動の研究