Translator Disclaimer
Febuary 2020 Breathers, lumps and hybrid solutions of the $(2{+}1)$-dimensional Hirota–Satsuma–Ito equation
Xiangyu Yang, Zhao Zhang, Wentao Li, Biao Li
Rocky Mountain J. Math. 50(1): 319-335 (Febuary 2020). DOI: 10.1216/rmj.2020.50.319

Abstract

With the Hirota bilinear method and symbolic computation, explicit forms of N-soliton of the (2+1)-dimensional Hirota–Satsuma–Ito equation are derived. General high-order breather solutions are constructed through appropriate parameter restrictions. By performing an appropriate limiting procedures on soliton solutions and then making further parameter constraints, general lump solutions to the (2+1)-dimensional Hirota–Satsuma–Ito equation would be succinctly constructed. Furthermore, we provide the hybrid solutions which means different types of combinations in breathers, lumps and line solitons. In order to better understand the dynamical behaviors of the equation, the novel interaction and propagation characteristics are discussed graphically.

Citation

Download Citation

Xiangyu Yang. Zhao Zhang. Wentao Li. Biao Li. "Breathers, lumps and hybrid solutions of the $(2{+}1)$-dimensional Hirota–Satsuma–Ito equation." Rocky Mountain J. Math. 50 (1) 319 - 335, Febuary 2020. https://doi.org/10.1216/rmj.2020.50.319

Information

Received: 4 July 2019; Revised: 25 July 2019; Accepted: 15 August 2019; Published: Febuary 2020
First available in Project Euclid: 30 April 2020

zbMATH: 07201569
MathSciNet: MR4092559
Digital Object Identifier: 10.1216/rmj.2020.50.319

Subjects:
Primary: 37K40

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
17 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.50 • No. 1 • Febuary 2020
Back to Top