Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures
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 seri...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2020-06-01
|
| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2020.2.00010 |
| _version_ | 1818744794946469888 |
|---|---|
| author | Çankal Pelin Doğan Yaşar Emrullah |
| author_facet | Çankal Pelin Doğan Yaşar Emrullah |
| author_sort | Çankal Pelin Doğan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T02:49:59Z |
| format | Article |
| id | doaj.art-8eddc95e7b2a4e51b61d43df2f5572da |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-12-18T02:49:59Z |
| publishDate | 2020-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-8eddc95e7b2a4e51b61d43df2f5572da2022-12-21T21:23:29ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-06-016138139610.2478/amns.2020.2.00010Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architecturesÇankal Pelin Doğan0Yaşar Emrullah1Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059Bursa, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059Bursa, TurkeyIn 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.https://doi.org/10.2478/amns.2020.2.00010(2+1) dimensional nonlinear schrodinger equationtraveling wave solutionssoliton solutions35c0835 q5135q6837k40 |
| spellingShingle | Çankal Pelin Doğan Yaşar Emrullah Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures Applied Mathematics and Nonlinear Sciences (2+1) dimensional nonlinear schrodinger equation traveling wave solutions soliton solutions 35c08 35 q51 35q68 37k40 |
| title | Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures |
| title_full | Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures |
| title_fullStr | Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures |
| title_full_unstemmed | Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures |
| title_short | Optical soliton solutions to a (2+1) dimensional Schrödinger equation using a couple of integration architectures |
| title_sort | optical soliton solutions to a 2 1 dimensional schrodinger equation using a couple of integration architectures |
| topic | (2+1) dimensional nonlinear schrodinger equation traveling wave solutions soliton solutions 35c08 35 q51 35q68 37k40 |
| url | https://doi.org/10.2478/amns.2020.2.00010 |
| work_keys_str_mv | AT cankalpelindogan opticalsolitonsolutionstoa21dimensionalschrodingerequationusingacoupleofintegrationarchitectures AT yasaremrullah opticalsolitonsolutionstoa21dimensionalschrodingerequationusingacoupleofintegrationarchitectures |