Numerical calculation of N -periodic wave solutions to coupled KdV–Toda-type equations-Reference-Cited by-同舟云学术

Numerical calculation of N -periodic wave solutions to coupled KdV–Toda-type equations

Published:2021-01 Issue:2245 Volume:477 Page:20200752
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Zhang Yingnan¹,Hu Xingbiao²³,Sun Jianqing⁴^ORCID

Affiliation:

1. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, People’s Republic of China

2. LSEC, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, People’s Republic of China

3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People’s Republic of China

4. School of Mathematical Sciences, Ocean University of China, Qingdao, People’s Republic of China

Abstract

In this paper, we study the N -periodic wave solutions of coupled Korteweg–de Vries (KdV)–Toda-type equations. We present a numerical process to calculate the N -periodic waves based on the direct method of calculating periodic wave solutions proposed by Akira Nakamura. Particularly, in the case of N = 3, we give some detailed examples to show the N -periodic wave solutions to the coupled Ramani equation, the Hirota–Satsuma coupled KdV equation, the coupled Ito equation, the Blaszak–Marciniak lattice, the semi-discrete KdV equation, the Leznov lattice and a relativistic Toda lattice.

Funder

National Natural Science Foundation of China

Research Funds for the Central Universities

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2020.0752

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