BIFURCATIONS AND EXACT SOLUTIONS OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS DNLSI-DNLSIII: DYNAMICAL SYSTEM METHOD

For the derivative nonlinear Schrödinger equations DNLSI-DNLSIII, by using the dynamical system method, we investigate the exact explicit solutions with the form $ q(x, t)=\phi(\xi)\exp{[i(\kappa x-\omega t+\theta(\xi))]}, \xi=x-ct. $ In the given parameter regions, we present exact explicit parametric representations for more than 14 solutions.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240390
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

BIFURCATIONS AND EXACT SOLUTIONS OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS DNLSI-DNLSIII: DYNAMICAL SYSTEM METHOD

Jinsen Zhuang, Jibin Li, Yan Zhou
Journal of Applied Analysis & Computation
Fractional Differential Equations Solutions
article

BIFURCATIONS AND EXACT SOLUTIONS OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS DNLSI-DNLSIII: DYNAMICAL SYSTEM METHOD

Jinsen Zhuang, Jibin Li, Yan Zhou
article en

Abstract

For the derivative nonlinear Schrödinger equations DNLSI-DNLSIII, by using the dynamical system method, we investigate the exact explicit solutions with the form $ q(x, t)=\phi(\xi)\exp{[i(\kappa x-\omega t+\theta(\xi))]}, \xi=x-ct. $ In the given parameter regions, we present exact explicit parametric representations for more than 14 solutions.

Journal of Applied Analysis & ComputationVol. 15(5)
Openalex Percentile: Top 83%
Fractional Differential Equations Solutions
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BIFURCATIONS AND EXACT SOLUTIONS OF THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS DNLSI-DNLSIII: DYNAMICAL SYSTEM METHOD — Jinsen Zhuang, Jibin Li, et al. · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS