Exact N-envelope-soliton solutions of the Hirota equation
We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations...
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| Format: | Journal Article |
| Language: | English |
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2011
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| Online Access: | https://hdl.handle.net/10356/100755 http://hdl.handle.net/10220/7222 http://www.if.pwr.wroc.pl/~optappl/article.php?lp=322 |
| _version_ | 1811681185438367744 |
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| author | Shu, Jian Jun |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Shu, Jian Jun |
| author_sort | Shu, Jian Jun |
| collection | NTU |
| description | We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations with similar properties. Meanwhile, exact N-envelope-soliton solutions of the Hirota equation are derived through the trace method. |
| first_indexed | 2024-10-01T03:36:56Z |
| format | Journal Article |
| id | ntu-10356/100755 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:36:56Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ntu-10356/1007552023-04-15T16:49:33Z Exact N-envelope-soliton solutions of the Hirota equation Shu, Jian Jun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mathematics and analysis We discuss some properties of the soliton equations of the type ∂u/∂t = S[u, ū], where S is a nonlinear operator differential in x, and present the additivity theorems of the class of the soliton equations. On using the theorems, we can construct a new soliton equation through two soliton equations with similar properties. Meanwhile, exact N-envelope-soliton solutions of the Hirota equation are derived through the trace method. 2011-10-11T07:43:26Z 2019-12-06T20:27:40Z 2011-10-11T07:43:26Z 2019-12-06T20:27:40Z 2003 2003 Journal Article Shu, J. J. (2003). Exact N-envelope-soliton solutions of the Hirota equation. Optica Applicata, 33(2-3), 539-546. 0078-5466 https://hdl.handle.net/10356/100755 http://hdl.handle.net/10220/7222 http://www.if.pwr.wroc.pl/~optappl/article.php?lp=322 81363 en Optica applicata 7 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mathematics and analysis Shu, Jian Jun Exact N-envelope-soliton solutions of the Hirota equation |
| title | Exact N-envelope-soliton solutions of the Hirota equation |
| title_full | Exact N-envelope-soliton solutions of the Hirota equation |
| title_fullStr | Exact N-envelope-soliton solutions of the Hirota equation |
| title_full_unstemmed | Exact N-envelope-soliton solutions of the Hirota equation |
| title_short | Exact N-envelope-soliton solutions of the Hirota equation |
| title_sort | exact n envelope soliton solutions of the hirota equation |
| topic | DRNTU::Engineering::Mathematics and analysis |
| url | https://hdl.handle.net/10356/100755 http://hdl.handle.net/10220/7222 http://www.if.pwr.wroc.pl/~optappl/article.php?lp=322 |
| work_keys_str_mv | AT shujianjun exactnenvelopesolitonsolutionsofthehirotaequation |