The construction of the mKdV cyclic symmetric N-soliton solution by the Bäcklund transformation-Reference-Cited by-同舟云学术

The construction of the mKdV cyclic symmetric N-soliton solution by the Bäcklund transformation

Published:2019-06-14 Issue:18 Volume:34 Page:1950136
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Hayashi Masahito¹^ORCID,Shigemoto Kazuyasu²,Tsukioka Takuya³

Affiliation:

1. Osaka Institute of Technology, Osaka 535-8585, Japan

2. Tezukayama University, Nara 631-8501, Japan

3. Bukkyo University, Kyoto 603-8301, Japan

Abstract

We study group theoretical structures of the mKdV equation. The Schwarzian-type mKdV equation has the global Möbius group symmetry. The Miura transformation makes a connection between the mKdV equation and the KdV equation. We find the special local Möbius transformation on the mKdV one-soliton solution which can be regarded as the commutative KdV Bäcklund transformation and can generate the mKdV cyclic symmetric N-soliton solution. In this algebraic construction to obtain multi-soliton solutions, we could observe the addition formula.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732319501360

Reference22 articles.

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2. Integrals of nonlinear equations of evolution and solitary waves

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