Volume 16, Issue 1, March 2009, Pages 7 - 23
Bright N-Solitons For The Intermediate Nonlinear Schrödinger Equation
Authors
Yohei Tutiya
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Tokyo 153-8914, Japan,tutiya@poisson.ms.u-tokyo.ac.jp
Received 12 December 2006, Accepted 29 November 2007, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000029How to use a DOI?
- Keywords
- Intermediate nonlinear Schrödinger equation; integrable systems; Sato theory; nonlocal equation; soliton; bilinear form
- Abstract
A previously unknown bright N-soliton solution for an intermediate nonlinear Schrödinger equation of focusing type is presented. This equation is constructed as a reduction of an integrable system related to a Sato equation of a 2-component KP hierarchy for certain differential-difference dispersion relations. Bright soliton solutions are obtained in the form of double Wronskian determinants.
- Copyright
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Yohei Tutiya PY - 2021 DA - 2021/01/07 TI - Bright N-Solitons For The Intermediate Nonlinear Schrödinger Equation JO - Journal of Nonlinear Mathematical Physics SP - 7 EP - 23 VL - 16 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000029 DO - 10.1142/S1402925109000029 ID - Tutiya2021 ER -