کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631400 | 1340621 | 2012 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws](/preview/png/4631400.png)
چکیده انگلیسی
A new integrable lattice hierarchy is constructed from a discrete matrix spectral problem, some related properties of the new hierarchy are discussed. The Hamiltonian structures and Liouville integrability of the new hierarchy are established by using the discrete trace identity. A kind of integrable coupling for the new hierarchy is constructed through enlarging spectral problems. A Darboux transformation (DT) with two variable parameters and the infinitely many conservation laws for a typical lattice equation in the new hierarchy are constructed based on its Lax representation, the explicit solutions are obtained via the DT, the structures for those solutions are graphically investigated. All these properties might be helpful to understanding some physical phenomena.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 9, 1 January 2012, Pages 5796-5805
Journal: Applied Mathematics and Computation - Volume 218, Issue 9, 1 January 2012, Pages 5796-5805
نویسندگان
Xiao-Yong Wen,