The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation
An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, some singular solutions and period solutions of the addressed equation wit...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5570788 |
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| _version_ | 1832560750576533504 |
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| author | Guiying Chen Xiangpeng Xin Feng Zhang |
| author_facet | Guiying Chen Xiangpeng Xin Feng Zhang |
| author_sort | Guiying Chen |
| collection | DOAJ |
| description | An integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, some singular solutions and period solutions of the addressed equation with specific coefficients are shown. Finally, under certain conditions, the asymptotic behavior of the two-soliton solution is analyzed to prove that the collision of the two-soliton is elastic. |
| format | Article |
| id | doaj-art-a35a215c68b5447f8785da1d7e881733 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a35a215c68b5447f8785da1d7e8817332025-02-03T01:26:54ZengWileyAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/5570788The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger EquationGuiying Chen0Xiangpeng Xin1Feng Zhang2School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesAn integrable variable coefficient nonlocal nonlinear Schrödinger equation (NNLS) is studied; by employing the Hirota’s bilinear method, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, some singular solutions and period solutions of the addressed equation with specific coefficients are shown. Finally, under certain conditions, the asymptotic behavior of the two-soliton solution is analyzed to prove that the collision of the two-soliton is elastic.http://dx.doi.org/10.1155/2021/5570788 |
| spellingShingle | Guiying Chen Xiangpeng Xin Feng Zhang The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation Advances in Mathematical Physics |
| title | The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation |
| title_full | The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation |
| title_fullStr | The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation |
| title_full_unstemmed | The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation |
| title_short | The Soliton Solutions and Long-Time Asymptotic Analysis for an Integrable Variable Coefficient Nonlocal Nonlinear Schrödinger Equation |
| title_sort | soliton solutions and long time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear schrodinger equation |
| url | http://dx.doi.org/10.1155/2021/5570788 |
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