Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity. Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) w...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/6143102 |
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| author | K. S. Al-Ghafri |
| author_facet | K. S. Al-Ghafri |
| author_sort | K. S. Al-Ghafri |
| collection | DOAJ |
| description | In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity. Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) which has a variety of solutions. The analytic solution of the resulting ODE gives rise to bright soliton, singular soliton, peaked soliton, compacton solutions, solitary pattern solutions, rational solution, Weierstrass elliptic periodic type solutions, and some other types of solutions. Constraint conditions for the existence of solitons and other solutions are given. |
| format | Article |
| id | doaj-art-1165d4c26890490c855a67d6000b91aa |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1165d4c26890490c855a67d6000b91aa2025-02-03T01:26:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422019-01-01201910.1155/2019/61431026143102Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law NonlinearityK. S. Al-Ghafri0Ibri College of Applied Sciences, Ministry of Higher Education, P.O. Box 14, Ibri 516, OmanIn this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity. Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) which has a variety of solutions. The analytic solution of the resulting ODE gives rise to bright soliton, singular soliton, peaked soliton, compacton solutions, solitary pattern solutions, rational solution, Weierstrass elliptic periodic type solutions, and some other types of solutions. Constraint conditions for the existence of solitons and other solutions are given.http://dx.doi.org/10.1155/2019/6143102 |
| spellingShingle | K. S. Al-Ghafri Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity Journal of Applied Mathematics |
| title | Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity |
| title_full | Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity |
| title_fullStr | Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity |
| title_full_unstemmed | Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity |
| title_short | Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity |
| title_sort | different physical structures of solutions for a generalized resonant dispersive nonlinear schrodinger equation with power law nonlinearity |
| url | http://dx.doi.org/10.1155/2019/6143102 |
| work_keys_str_mv | AT ksalghafri differentphysicalstructuresofsolutionsforageneralizedresonantdispersivenonlinearschrodingerequationwithpowerlawnonlinearity |