Painlevé analysis of a nonlinear Schrödinger equation discussing dynamics of solitons in optical fiber

DOI10.1142/S0217979221500053zbMath1455.35241OpenAlexW3112526759MaRDI QIDQ4965684

Muhammad Younis, Ijaz Ali, Syed Tahir Raza Rizvi, Aly R. Seadawy

Publication date: 9 March 2021

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979221500053

zbMATH Keywords

nonlinear Schrödinger equationcompatibility conditionsPainlevé testinverse scattering transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion ⋮ Detailed analysis for chirped pulses to cubic-quintic nonlinear non-paraxial pulse propagation model ⋮ Integrability, bilinearization, solitons and exact three wave solutions for a forced Korteweg-de Vries equation ⋮ Nonlinear model under anomalous dispersion regime: chirped periodic and solitary waves ⋮ Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation

Cites Work

• Head-on collision between two hydroelastic solitary waves in shallow water
• Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation
• Analytical study of the head-on collision process between hydroelastic solitary waves in the presence of a uniform current
• Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

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