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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2011
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sg-ntu-dr.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 |
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DRNTU::Engineering::Mathematics and analysis Shu, Jian Jun Exact N-envelope-soliton solutions of the Hirota equation |
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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. |
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School of Mechanical and Aerospace Engineering |
| author_facet |
School of Mechanical and Aerospace Engineering Shu, Jian Jun |
| format |
Article |
| author |
Shu, Jian Jun |
| author_sort |
Shu, Jian Jun |
| title |
Exact N-envelope-soliton solutions of the Hirota equation |
| title_short |
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_sort |
exact n-envelope-soliton solutions of the hirota equation |
| publishDate |
2011 |
| url |
https://hdl.handle.net/10356/100755 http://hdl.handle.net/10220/7222 http://www.if.pwr.wroc.pl/~optappl/article.php?lp=322 |
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