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Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method

Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus... In this research work, we constructed the optical soliton solutions of nonlinear complex Kundu-Eckhaus (KE) equation with the help of modified mathematical method. We obtained the solutions in the form of dark solitons, bright solitons and combined dark-bright solitons, travelling wave and periodic wave solutions with general coefficients. In our knowledge earlier reported results of the KE equation with specific coefficients. These obtained solutions are more useful in the development of optical fibers, dynamics of solitons, dynamics of adiabatic parameters, dynamics of fluid, problems of biomedical, industrial phenomena and many other branches. All calculations show that this technique is more powerful, effective, straightforward, and fruitfulness to study analytically other higher-order nonlinear complex PDEs involves in mathematical physics, quantum physics, Geo physics, fluid mechanics, hydrodynamics, mathematical biology, field of engineering and many other physical sciences. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method

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Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-3861-2
Publisher site
See Article on Publisher Site

Abstract

In this research work, we constructed the optical soliton solutions of nonlinear complex Kundu-Eckhaus (KE) equation with the help of modified mathematical method. We obtained the solutions in the form of dark solitons, bright solitons and combined dark-bright solitons, travelling wave and periodic wave solutions with general coefficients. In our knowledge earlier reported results of the KE equation with specific coefficients. These obtained solutions are more useful in the development of optical fibers, dynamics of solitons, dynamics of adiabatic parameters, dynamics of fluid, problems of biomedical, industrial phenomena and many other branches. All calculations show that this technique is more powerful, effective, straightforward, and fruitfulness to study analytically other higher-order nonlinear complex PDEs involves in mathematical physics, quantum physics, Geo physics, fluid mechanics, hydrodynamics, mathematical biology, field of engineering and many other physical sciences.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Mar 1, 2023

Keywords: Kundu-Eckhaus equation; modified mathematical method; solitons and solitary wave solutions; 35J05; 35J10; 35K05; 35L05

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