Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients
In this paper, we first present a complex multirational exp-function ansatz for constructing explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of nonlinear partial differential equations (PDEs) with complex coefficients. To illustrate the effectiveness of the complex multi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3206503 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849685065340026880 |
|---|---|
| author | Sheng Zhang Lijie Zhang Bo Xu |
| author_facet | Sheng Zhang Lijie Zhang Bo Xu |
| author_sort | Sheng Zhang |
| collection | DOAJ |
| description | In this paper, we first present a complex multirational exp-function ansatz for constructing explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of nonlinear partial differential equations (PDEs) with complex coefficients. To illustrate the effectiveness of the complex multirational exp-function ansatz, we then consider a generalized nonlinear Schrödinger (gNLS) equation with distributed coefficients. As a result, some explicit rational exp-function solutions are obtained, including solitary wave solutions, N-wave solutions, and rouge wave solutions. Finally, we simulate some spatial structures and dynamical evolutions of the modules of the obtained solutions for more insights into these complex rational waves. It is shown that the complex multirational exp-function ansatz can be used for explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of some other nonlinear PDEs with complex coefficients. |
| format | Article |
| id | doaj-art-c29372f7dd09469dbf1b21df17cf93d1 |
| institution | DOAJ |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c29372f7dd09469dbf1b21df17cf93d12025-08-20T03:23:16ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/32065033206503Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed CoefficientsSheng Zhang0Lijie Zhang1Bo Xu2School of Mathematics and Physics, Bohai University, Jinzhou 121013, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou 121013, ChinaSchool of Education and Sports, Bohai University, Jinzhou 121013, ChinaIn this paper, we first present a complex multirational exp-function ansatz for constructing explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of nonlinear partial differential equations (PDEs) with complex coefficients. To illustrate the effectiveness of the complex multirational exp-function ansatz, we then consider a generalized nonlinear Schrödinger (gNLS) equation with distributed coefficients. As a result, some explicit rational exp-function solutions are obtained, including solitary wave solutions, N-wave solutions, and rouge wave solutions. Finally, we simulate some spatial structures and dynamical evolutions of the modules of the obtained solutions for more insights into these complex rational waves. It is shown that the complex multirational exp-function ansatz can be used for explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of some other nonlinear PDEs with complex coefficients.http://dx.doi.org/10.1155/2019/3206503 |
| spellingShingle | Sheng Zhang Lijie Zhang Bo Xu Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients Complexity |
| title | Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients |
| title_full | Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients |
| title_fullStr | Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients |
| title_full_unstemmed | Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients |
| title_short | Rational Waves and Complex Dynamics: Analytical Insights into a Generalized Nonlinear Schrödinger Equation with Distributed Coefficients |
| title_sort | rational waves and complex dynamics analytical insights into a generalized nonlinear schrodinger equation with distributed coefficients |
| url | http://dx.doi.org/10.1155/2019/3206503 |
| work_keys_str_mv | AT shengzhang rationalwavesandcomplexdynamicsanalyticalinsightsintoageneralizednonlinearschrodingerequationwithdistributedcoefficients AT lijiezhang rationalwavesandcomplexdynamicsanalyticalinsightsintoageneralizednonlinearschrodingerequationwithdistributedcoefficients AT boxu rationalwavesandcomplexdynamicsanalyticalinsightsintoageneralizednonlinearschrodingerequationwithdistributedcoefficients |