کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897560 | 1044549 | 2006 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Integrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Integrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebras Integrable deformations of the mKdV and SG hierarchies and quasigraded Lie algebras](/preview/png/1897560.png)
چکیده انگلیسی
We construct a new family of quasigraded Lie algebras that admit the Kostant–Adler scheme. They coincide with special quasigraded deformations of twisted subalgebras of the loop algebras. Using them we obtain new hierarchies of integrable equations in partial derivatives. They coincide with the deformations of integrable hierarchies associated with the loop algebras. We consider the case g=gl(2)g=gl(2) in detail and obtain integrable hierarchies that could be viewed as deformations of mKdV, sine-Gordon and derivative non-linear Shrödinger hierarchies and some other integrable hierarchies, such as the (w3) non-linear Shrödinger hierarchy and its doubled form.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 216, Issue 2, 15 April 2006, Pages 247–259
Journal: Physica D: Nonlinear Phenomena - Volume 216, Issue 2, 15 April 2006, Pages 247–259
نویسندگان
T. Skrypnyk,