Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity
The (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/408630 |
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| _version_ | 1832547300720771072 |
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| author | Qing Meng Bin He Zhenyang Li |
| author_facet | Qing Meng Bin He Zhenyang Li |
| author_sort | Qing Meng |
| collection | DOAJ |
| description | The (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves is proved and all possible explicit parametric representations of these waves are presented. |
| format | Article |
| id | doaj-art-8e68e5f4e1054f8f9cc21fbcce0660b5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8e68e5f4e1054f8f9cc21fbcce0660b52025-02-03T06:45:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/408630408630Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law NonlinearityQing Meng0Bin He1Zhenyang Li2Department of Physics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaThe (1 + 2)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity is studied using the factorization technique, bifurcation theory of dynamical system, and phase portraits analysis. From a dynamic point of view, the existence of smooth solitary wave, and kink and antikink waves is proved and all possible explicit parametric representations of these waves are presented.http://dx.doi.org/10.1155/2015/408630 |
| spellingShingle | Qing Meng Bin He Zhenyang Li Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity Advances in Mathematical Physics |
| title | Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity |
| title_full | Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity |
| title_fullStr | Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity |
| title_full_unstemmed | Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity |
| title_short | Explicit Wave Solutions and Qualitative Analysis of the (1 + 2)-Dimensional Nonlinear Schrödinger Equation with Dual-Power Law Nonlinearity |
| title_sort | explicit wave solutions and qualitative analysis of the 1 2 dimensional nonlinear schrodinger equation with dual power law nonlinearity |
| url | http://dx.doi.org/10.1155/2015/408630 |
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