Multiple mixed solutions of the nonlocal sine-Gordon equation

Jian Li; Junsheng Duan; Yan Li; Chuanzhong Li

doi:10.1140/epjc/s10052-024-12659-z

European Physical Journal C: Particles and Fields (Apr 2024)

Multiple mixed solutions of the nonlocal sine-Gordon equation

Jian Li,
Junsheng Duan,
Yan Li,
Chuanzhong Li

Affiliations

Jian Li: Department of Mathematics, Shanghai Institute of Technology
Junsheng Duan: Department of Mathematics, Shanghai Institute of Technology
Yan Li: Department of Mathematics, Shanghai Institute of Technology
Chuanzhong Li: College of Mathematics and Systems Science, Shandong University of Science and Technology

DOI: https://doi.org/10.1140/epjc/s10052-024-12659-z
Journal volume & issue: Vol. 84, no. 4
pp. 1 – 8

Abstract

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Abstract In this paper, we propose the nonlocal sine-Gordon equation from the AKNS system by the Parity and the Time symmetries. Moreover, the main work is to construct the Darboux transformation for the nonlocal sine-Gordon equation. In particular, various types of solutions are obtained by taking a seed solution, such as, soliton solutions, kink solutions, mixed solutions.

Published in European Physical Journal C: Particles and Fields

ISSN: 1434-6044 (Print); 1434-6052 (Online)
Publisher: SpringerOpen
Country of publisher: Germany
LCC subjects: Science: Astronomy: Astrophysics; Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
Website: http://www.springer.com/physics/particle+and+nuclear+physics/journal/10052

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