Painlevé analysis for various nonlinear Schrödinger dynamical equations-Reference-Cited by-同舟云学术

Painlevé analysis for various nonlinear Schrödinger dynamical equations

Published:2021-01-05 Issue:03 Volume:35 Page:2150038
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Ali Ijaz¹,Seadawy Aly R.²,Rizvi Syed Tahir Raza¹,Younis Muhammad³

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan

2. Mathematics Department, Faculty of Science, Taibah University, Saudi Arabia

3. Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan

Abstract

In this paper, our objective is to analyze integrability of three famous nonlinear models, namely unstable nonlinear Schrödinger equation (UNLSE), modified UNLSE (MUNLSE) as well as (2+1)-dimensional cubic NLSE (CNLSE) by utilizing Painlevé test ([Formula: see text]-test). The non-appearance of some sort of singularities such as moveable branch points indicates a sound probability of complete integrability of the concerned NLSE. In case an NLSE passes the [Formula: see text]-test, the studied model can be solved by implementing inverse scattering transformation (IST).

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979221500387

Reference45 articles.

1. Spatiotemporal solitons in cold Rydberg atomic gases with Bessel optical lattices

2. Dispersive optical solitary wave solutions of strain wave equation in micro-structured solids and its applications

3. Construction of bright–dark solitons and ion-acoustic solitary wave solutions of dynamical system of nonlinear wave propagation

4. Arising wave propagation in nonlinear media for the (2+1)-dimensional Heisenberg ferromagnetic spin chain dynamical model

5. A domain of influence in the Moore–Gibson–Thompson theory of dipolar bodies

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