<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this work, we consider a (2+1) dimensional nonlinear Schrödinger system which appears in the theory of nonlinear optics and describe transmission of the optical pulses in optical fibers. We attain certain special type traveling wave solutions of the under investigated model by help of finite series expansion and auxiliary differential equations. In this manner, we exploit <italic>exp</italic>(−<italic>ϕ</italic>(<italic>ε</italic>)) and modified Kudryashov approaches as solution procedures. Moreover, we make tanh ansatz because of the being even order of the reduced ordinary differential equation. The obtained solutions are in the form of dark soliton, combined soliton, symmetrical Lucas sine, Lucas cosine functions, and periodic wave solutions. We present also some graphical simulations of the solutions corresponding to values of parameters which leads to a better understanding the phenomena.</p>
</abstract>

In this work, we consider a (2+1) dimensional nonlinear Schrödinger system which appears in the theory of nonlinear optics and describe transmission of the optical pulses in optical fibers. We attain certain special type traveling wave solutions of the under investigated model by help of finite series expansion and auxiliary differential equations. In this manner, we exploit exp(−ϕ(ε)) and modified Kudryashov approaches as solution procedures. Moreover, we make tanh ansatz because of the being even order of the reduced ordinary differential equation. The obtained solutions are in the form of dark soliton, combined soliton, symmetrical Lucas sine, Lucas cosine functions, and periodic wave solutions. We present also some graphical simulations of the solutions corresponding to values of parameters which leads to a better understanding the phenomena.

Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures

Department of Mathematics, Faculty of Arts and Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this work, we consider a (2+1) dimensional nonlinear Schrödinger system which appears in the theory of nonlinear optics and describe transmission of the...

Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures

Published Online: Jun 26, 2020

Page range: 381 - 396

Received: May 20, 2019

Accepted: Feb 11, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00010

Keywords
(2+1) dimensional nonlinear Schrodinger equation, traveling wave solutions, soliton solutions

© 2020 Pelin Doğan Çankal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures

Published Online: Jun 26, 2020

Page range: 381 - 396

Received: May 20, 2019

Accepted: Feb 11, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00010

Keywords(2+1) dimensional nonlinear Schrodinger equation, traveling wave solutions, soliton solutions

© 2020 Pelin Doğan Çankal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
(2+1) dimensional nonlinear Schrodinger equation, traveling wave solutions, soliton solutions