کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1863671 | 1037677 | 2015 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solving negative and mixed Toda hierarchies by Jacobi inversion problems
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
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چکیده انگلیسی
• Negative and mixed Toda hierarchies are presented.
• They are proved to be integrable Hamiltonian systems.
• The Jacobi inversion problems for the Hamiltonian systems are given.
The Jacobi inversion problems of negative and mixed Toda hierarchies are investigated through a symplectic map and some finite-dimensional Hamiltonian systems. Each negative equation is decomposed into the symplectic flow and a negative Hamiltonian flow, each mixed equation is decomposed into the symplectic flow and a mixed Hamiltonian flow. The separated variables are introduced to study these Hamiltonian systems. Based on the Hamilton–Jacobi theory, the relationship between the action-angle coordinates and the Jacobi-inversion problems is established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 379, Issue 7, 20 March 2015, Pages 626–634
Journal: Physics Letters A - Volume 379, Issue 7, 20 March 2015, Pages 626–634
نویسندگان
Xiao Yang, Dianlou Du,