Painlevé analysis for various nonlinear Schrödinger dynamical equations

DOI10.1142/S0217979221500387zbMath1455.35231OpenAlexW3118700442MaRDI QIDQ4965705

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

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/s0217979221500387

zbMATH Keywords

integrabilitynonlinear Schrödinger equationPainlevé test

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 ⋮ Diverse acoustic wave propagation to confirmable time–space fractional KP equation arising in dusty plasma ⋮ Nonlinear model under anomalous dispersion regime: chirped periodic and solitary waves ⋮ Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation

Uses Software

• PDESpecialSolutions
• PDERecursionOperator

Cites Work

• Unnamed Item
• Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions
• Nonlinear wave solutions of the three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma
• Stability analysis solutions for nonlinear three-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in a magnetized electron-positron plasma
• New exact solutions for the KdV equation with higher order nonlinearity by using the variational method
• Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma
• 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
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Application of the extension exponential rational function method for higher-dimensional Broer–Kaup–Kupershmidt dynamical system
• A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
• Analytical Solution for an In-host Viral Infection Model with Time-inhomogeneous Rates
• Stability analysis for nonlinear second order differential equations with impulses

This page was built for publication: Painlevé analysis for various nonlinear Schrödinger dynamical equations