Stability, sensitivity, chaotic behavior, and soliton solution of the perturbed Kaup-Newell equation

Ain Shams Engineering Journal 2026 Open access

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Authors: Amjad Hussain, Umar Afzal Chaudhary, Muhammad Junaid-U-Rehman, Adil Jhangeer
DOI: 10.1016/j.asej.2026.104097
Cited by: 2
References: 32

Abstract

The main topic of this paper is to examine the dynamical behavior and soliton solutions of the perturbed Kaup–Newell equation. We employ the Jacobi elliptic function (JEF) method to determine the soliton solution of the model. We use tools like phase portraits, Hamiltonian systems, Poincaré maps, Lyapunov exponents, sensitivity analysis, and bifurcation diagrams to investigate the chaotic behavior of the model discussed in this paper. The analysis presented here is crucial for making decisions to achieve better control, optimization, and overall system improvement.

Fields of Study & Subjects

Nonlinear Waves and Solitons Numerical methods for differential equations Fractional Differential Equations Solutions

Publication details

Journal / source
Ain Shams Engineering Journal
Publisher
Elsevier BV
Volume
17
Issue
5
Pages
104097–104097
Publication date
19 March 2026
Language
EN