Journal of Applied Nonlinear Dynamics 15(1) (2026) 125--131 | DOI:10.5890/JAND.2026.03.008

Russell W. Kohl$^1$, Anjan Biswas$^{2,3,4,5}$, Yakup Yildirim$^{6,7,8}$, Ali Saleh Alshomrani$^3$

$^1$ Department of Mathematics, University of Maryland Eastern Shore, Princess Anne, MD--21853, USA

$^2$ Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245--2715, USA

$^3$ Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah-- 21589, Saudi Arabia

$^4$ Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-- 0204, Pretoria, South Africa

$^5$ Department of Applied Sciences, Cross--Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati--800201, Romania

$^6$ Department of Computer Engineering, Biruni University, Istanbul--34010, Turkey

$^7$ Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus

$^8$ Faculty of Arts and Sciences, University of Kyrenia, 99320 Kyrenia, Cyprus

Abstract

The current paper recovers a bright 1--soliton solution to the dispersive concatenation model that is considered with power--law of nonlinear self--phase modulation. The semi--inverse variational principle is applied to recover the soliton solution. The parameter constraints that naturally emerge from the analysis for the existence of bright solitons are also presented in the work.

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