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Optical and Quantum Electronics
Published in: Optical and Quantum Electronics 2/2024

01-02-2024

Stability, modulation instability analysis and new travelling wave solutions of non-dissipative double-dispersive microstrain wave model within micro-structured solids

Authors: Hameedullah, Rafiullah, Sayed Saifullah, Shafiq Ahmad, Mati Ur Rahman

Published in: Optical and Quantum Electronics | Issue 2/2024

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Abstract

This manuscript offers an in-depth analysis of the behavior of non-dissipative double-dispersive microstrain waves within microstructured solids, employing the Sardar sub-equation (SSE) technique. The presentation unfolds as follows: Firstly, we introduce the general algorithm underpinning the SSE technique. Subsequently, we apply the traveling wave transform to the given equation, thereby transforming it into a nonlinear ordinary differential (NLOD) equation. Using this novel approach, we derive a series of remarkable soliton solutions for the aforementioned model. The stability and modulation instability analysis are also presented. The obtained solutions encompass singular solitons, bright solitons, multi M-shaped solitons, as well as the interaction of singular solitons with periodic solitons and bright periodic solitons. Furthermore, we numerically simulate the exact analytical soliton solutions and meticulously investigate the influence of various parameters on the characteristics of these soliton waves.
previous article Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model
next article A study of optical solitons of Manakov model describing optical pulse propagation

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Metadata
Title
Stability, modulation instability analysis and new travelling wave solutions of non-dissipative double-dispersive microstrain wave model within micro-structured solids
Authors
Hameedullah
Rafiullah
Sayed Saifullah
Shafiq Ahmad
Mati Ur Rahman
Publication date
01-02-2024
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 2/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05742-4

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