Painlevé Analysis and Chiral Solitons from Quantum Hall Effect

Authors

  • Nikolay A. Kudryashov Department of Applied Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation
  • Anjan Biswas Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245-2715, USA https://orcid.org/0000-0002-8131-6044
  • Qin Zhou School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan, China
  • Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul-34010, Turkey

DOI:

https://doi.org/10.37256/cm.5420245313

Keywords:

generalized Schödinger equation, chiral soliton, Painlevé test, traveling wave solution, first integral

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.

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Published

2024-10-18

How to Cite

1.
Kudryashov NA, Biswas A, Zhou Q, Yildirim Y. Painlevé Analysis and Chiral Solitons from Quantum Hall Effect. Contemp. Math. [Internet]. 2024 Oct. 18 [cited 2024 Dec. 10];5(4):4384-98. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5313

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