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Painlevé Analysis and Chiral Solitons from Quantum Hall Effect

Year: 2024

Type: article

Abstract: This study examines the generalized Schrödinger equation governing chiral solitons. We assess its integrability using the Painlevé test for nonlinear partial differential equations. Our analysis shows that the equation fails the Painlevé test, suggesting the Cauchy problem cannot be solved using the inverse scattering transform. However, through a traveling wave reduction, we find that the resulting nonlinear ordinary differential equation does satisfy the Painlevé test. Therefore, we establish a general solution for this reduced equation, which we outline accordingly.

Source: Contemporary Mathematics

DOI: 10.37256/cm.5420245313

Authors: Nikolay A. Kudryashov, Anjan Biswas, Qin Zhou, Yakup Yildirim

Institutions: National Research Nuclear University MEPhI, Grambling State University, Wuhan Textile University, Biruni University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403525886

FWCI: 0.148

Cites:

Cited by: 1

Related to: 10