Work

PT-invariant nonlocal variable-coefficient Fokas-Lenells equation: nonstandard Hirota bilinearization, symmetry-preserving and breaking multi-soliton solutions

Year: 2026

Type: preprint

Abstract: In this paper, we explore a variable-coefficient Fokas-Lenells system with gain/loss. Applying a nonlocal symmetry reduction, the system leads to a PT-invariant variable-coefficient Fokas-Lenells equation (vcFLE) with specific constraints on dispersion and nonlinearity coefficients. We prove the Lax integrability of the given system and construct one- and two-soliton solutions using a nonstandard Hirota bilinearization method. We show that, depending on the soliton parameters, the solutions can retain or violate the underlying symmetry. With appropriate choice of dispersion and nonlinearity, the system shows periodic-wave and soliton structures.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.22357

Authors: Talukdar, Sagardeep, R, Ramakrishnan, Nandy, Sudipta, M, Lakshmanan

Institutions: Indian Institute of Technology Kharagpur, Cotton University, Bharathidasan University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Arthritis National Research Foundation, Department of Science and Technology, Ministry of Science and Technology, India, National Science Council

Award: G3522591648

OpenAlex ID: W7214034175

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